2 * ( k +(k-7))=1034
Answers
Step-by-step explanation:
How to solve your question
Your question is
2
(
+
(
−
7
)
)
=
1
0
3
4
2(k+(k-7))=1034
2(k+(k−7))=1034
Solve
1
Eliminate redundant parentheses
2
(
+
(
−
7
)
)
=
1
0
3
4
2(k+(k-7))=1034
2(k+(k−7))=1034
2
(
+
−
7
)
=
1
0
3
4
2(k+k-7)=1034
2(k+k−7)=1034
2
Combine like terms
2
(
+
−
7
)
=
1
0
3
4
2({\color{#c92786}{k}}+{\color{#c92786}{k}}-7)=1034
2(k+k−7)=1034
2
(
2
−
7
)
=
1
0
3
4
2({\color{#c92786}{2k}}-7)=1034
2(2k−7)=1034
3
Distribute
2
(
2
−
7
)
=
1
0
3
4
{\color{#c92786}{2(2k-7)}}=1034
2(2k−7)=1034
4
−
1
4
=
1
0
3
4
{\color{#c92786}{4k-14}}=1034
4k−14=1034
4
Add
1
4
14
14
to both sides of the equation
4
−
1
4
=
1
0
3
4
4k-14=1034
4k−14=1034
4
−
1
4
+
1
4
=
1
0
3
4
+
1
4
4k-14+{\color{#c92786}{14}}=1034+{\color{#c92786}{14}}
4k−14+14=1034+14
5
Simplify
Add the numbers
Add the numbers
again
4
=
1
0
4
8
4k=1048
4k=1048
6
Divide both sides of the equation by the same term
4
=
1
0
4
8
4k=1048
4k=1048
4
4
=
1
0
4
8
4
\frac{4k}{{\color{#c92786}{4}}}=\frac{1048}{{\color{#c92786}{4}}}
44k=41048
7
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
2
6
2
k=262
k=262
Solution
=
2
6
2
Answer: