5-(1-z)/-(37-1)/5=1/6
Answers
Step-by-step explanation:
1 Simplify 37-137−1 to 3636.
5-\frac{\frac{1-z}{-36}}{5}=\frac{1}{6}5−
5
−36
1−z
=
6
1
2 Move the negative sign to the left.
5-(-\frac{1-z}{36\times 5})=\frac{1}{6}5−(−
36×5
1−z
)=
6
1
3 Simplify 36\times 536×5 to 180180.
5-(-\frac{1-z}{180})=\frac{1}{6}5−(−
180
1−z
)=
6
1
4 Remove parentheses.
5+\frac{1-z}{180}=\frac{1}{6}5+
180
1−z
=
6
1
5 Subtract 55 from both sides.
\frac{1-z}{180}=\frac{1}{6}-5
180
1−z
=
6
1
−5
6 Simplify \frac{1}{6}-5
6
1
−5 to -\frac{29}{6}−
6
29
.
\frac{1-z}{180}=-\frac{29}{6}
180
1−z
=−
6
29
7 Multiply both sides by 180180.
1-z=-\frac{29}{6}\times 1801−z=−
6
29
×180
8 Use this rule: \frac{a}{b} \times c=\frac{ac}{b}
b
a
×c=
b
ac
.
1-z=-\frac{29\times 180}{6}1−z=−
6
29×180
9 Simplify 29\times 18029×180 to 52205220.
1-z=-\frac{5220}{6}1−z=−
6
5220
10 Simplify \frac{5220}{6}
6
5220
to 870870.
1-z=-8701−z=−870
11 Subtract 11 from both sides.
-z=-870-1−z=−870−1
12 Simplify -870-1−870−1 to -871−871.
-z=-871−z=−871
13 Multiply both sides by -1−1.
z=871z=871
Done
