4(v-7)+5(8v-4)=-4

Solution for 4(v-7)+5(8v-4)=-4 equation:

Simplifying
4(v + -7) + 5(8v + -4) = -4

Reorder the terms:
4(-7 + v) + 5(8v + -4) = -4
(-7 * 4 + v * 4) + 5(8v + -4) = -4
(-28 + 4v) + 5(8v + -4) = -4

Reorder the terms:
-28 + 4v + 5(-4 + 8v) = -4
-28 + 4v + (-4 * 5 + 8v * 5) = -4
-28 + 4v + (-20 + 40v) = -4

Reorder the terms:
-28 + -20 + 4v + 40v = -4

Combine like terms: -28 + -20 = -48
-48 + 4v + 40v = -4

Combine like terms: 4v + 40v = 44v
-48 + 44v = -4

Solving
-48 + 44v = -4

Solving for variable 'v'.

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

Add '48' to each side of the equation.
-48 + 48 + 44v = -4 + 48

Combine like terms: -48 + 48 = 0
0 + 44v = -4 + 48
44v = -4 + 48

Combine like terms: -4 + 48 = 44
44v = 44

Divide each side by '44'.
v = 1

Simplifying
v = 1