7(v-5)+2(4v-7)=-34

Solution for 7(v-5)+2(4v-7)=-34 equation:

Simplifying
7(v + -5) + 2(4v + -7) = -34

Reorder the terms:
7(-5 + v) + 2(4v + -7) = -34
(-5 * 7 + v * 7) + 2(4v + -7) = -34
(-35 + 7v) + 2(4v + -7) = -34

Reorder the terms:
-35 + 7v + 2(-7 + 4v) = -34
-35 + 7v + (-7 * 2 + 4v * 2) = -34
-35 + 7v + (-14 + 8v) = -34

Reorder the terms:
-35 + -14 + 7v + 8v = -34

Combine like terms: -35 + -14 = -49
-49 + 7v + 8v = -34

Combine like terms: 7v + 8v = 15v
-49 + 15v = -34

Solving
-49 + 15v = -34

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '49' to each side of the equation.
-49 + 49 + 15v = -34 + 49

Combine like terms: -49 + 49 = 0
0 + 15v = -34 + 49
15v = -34 + 49

Combine like terms: -34 + 49 = 15
15v = 15

Divide each side by '15'.
v = 1

Simplifying
v = 1