2(5v+3)-4(7v+1)=-88

Solution for 2(5v+3)-4(7v+1)=-88 equation:

Simplifying
2(5v + 3) + -4(7v + 1) = -88

Reorder the terms:
2(3 + 5v) + -4(7v + 1) = -88
(3 * 2 + 5v * 2) + -4(7v + 1) = -88
(6 + 10v) + -4(7v + 1) = -88

Reorder the terms:
6 + 10v + -4(1 + 7v) = -88
6 + 10v + (1 * -4 + 7v * -4) = -88
6 + 10v + (-4 + -28v) = -88

Reorder the terms:
6 + -4 + 10v + -28v = -88

Combine like terms: 6 + -4 = 2
2 + 10v + -28v = -88

Combine like terms: 10v + -28v = -18v
2 + -18v = -88

Solving
2 + -18v = -88

Solving for variable 'v'.

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

Add '-2' to each side of the equation.
2 + -2 + -18v = -88 + -2

Combine like terms: 2 + -2 = 0
0 + -18v = -88 + -2
-18v = -88 + -2

Combine like terms: -88 + -2 = -90
-18v = -90

Divide each side by '-18'.
v = 5

Simplifying
v = 5