solve the following equation 7/2 p-(p+4) =6 please give solutin also
Answers
Answer:
answer is 1
Step-by-step explanation:
Answer:p=4
Step-by-step explanation:How to solve your problem
7
2
⋅
−
1
(
+
4
)
=
6
\frac{7}{2} \cdot p-1(p+4)=6
27⋅p−1(p+4)=6
Solve
1
Combine multiplied terms into a single fraction
7
2
−
1
(
+
4
)
=
6
\frac{7}{2}p-1(p+4)=6
27p−1(p+4)=6
7
2
−
1
(
+
4
)
=
6
\frac{7p}{2}-1(p+4)=6
27p−1(p+4)=6
2
Distribute
7
2
−
(
+
4
)
=
6
\frac{7p}{2}-\left(p+4\right)=6
27p−(p+4)=6
7
2
−
−
4
=
6
\frac{7p}{2}-p-4=6
27p−p−4=6
3
Find common denominator
7
2
−
−
4
=
6
\frac{7p}{2}-p-4=6
27p−p−4=6
7
2
+
2
(
−
)
2
+
2
(
−
4
)
2
=
6
\frac{7p}{2}+\frac{2\left(-p\right)}{2}+\frac{2\left(-4\right)}{2}=6
27p+22(−p)+22(−4)=6
4
Combine fractions with common denominator
7
2
+
2
(
−
)
2
+
2
(
−
4
)
2
=
6
\frac{7p}{2}+\frac{2\left(-p\right)}{2}+\frac{2\left(-4\right)}{2}=6
27p+22(−p)+22(−4)=6
7
+
2
(
−
)
+
2
(
−
4
)
2
=
6
\frac{7p+2\left(-p\right)+2\left(-4\right)}{2}=6
27p+2(−p)+2(−4)=6
5
Multiply the numbers
7
+
2
(
−
)
+
2
(
−
4
)
2
=
6
\frac{7p+2\left(-p\right)+2\left(-4\right)}{2}=6
27p+2(−p)+2(−4)=6
7
−
2
+
2
(
−
4
)
2
=
6
\frac{7p-2p+2\left(-4\right)}{2}=6
27p−2p+2(−4)=6
6
Multiply the numbers
7
−
2
+
2
(
−
4
)
2
=
6
\frac{7p-2p+{\color{#c92786}{2}}\left({\color{#c92786}{-4}}\right)}{2}=6
27p−2p+2(−4)=6
7
−
2
−
8
2
=
6
\frac{7p-2p{\color{#c92786}{-8}}}{2}=6
27p−2p−8=6
7
Combine like terms
7
−
2
−
8
2
=
6
\frac{{\color{#c92786}{7p}}{\color{#c92786}{-2p}}-8}{2}=6
27p−2p−8=6
5
−
8
2
=
6
\frac{{\color{#c92786}{5p}}-8}{2}=6
25p−8=6
8
Multiply all terms by the same value to eliminate fraction denominators
5
−
8
2
=
6
\frac{5p-8}{2}=6
25p−8=6
2
⋅
5
−
8
2
=
2
⋅
6
2 \cdot \frac{5p-8}{2}=2 \cdot 6
2⋅25p−8=2⋅6
9
Cancel multiplied terms that are in the denominator
2
⋅
5
−
8
2
=
2
⋅
6
2 \cdot \frac{5p-8}{2}=2 \cdot 6
2⋅25p−8=2⋅6
5
−
8
=
2
⋅
6
5p-8=2 \cdot 6
5p−8=2⋅6
10
Multiply the numbers
5
−
8
=
2
⋅
6
5p-8={\color{#c92786}{2}} \cdot {\color{#c92786}{6}}
5p−8=2⋅6
5
−
8
=
1
2
5p-8={\color{#c92786}{12}}
5p−8=12
11
Add
8
8
8
to both sides of the equation
5
−
8
=
1
2
5p-8=12
5p−8=12
5
−
8
+
8
=
1
2
+
8
5p-8+{\color{#c92786}{8}}=12+{\color{#c92786}{8}}
5p−8+8=12+8
12
Simplify
Add the numbers
Add the numbers
5
=
2
0
5p=20
5p=20
13
Divide both sides of the equation by the same term
5
=
2
0
5p=20
5p=20
5
5
=
2
0
5
\frac{5p}{{\color{#c92786}{5}}}=\frac{20}{{\color{#c92786}{5}}}
55p=520
14
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
4