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

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

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

Combine like terms: -5 + -7 = -12
7v + 1 + -2(-12) = 3(v + -1)

Multiply -2 * -12
7v + 1 + 24 = 3(v + -1)

Reorder the terms:
1 + 24 + 7v = 3(v + -1)

Combine like terms: 1 + 24 = 25
25 + 7v = 3(v + -1)

Reorder the terms:
25 + 7v = 3(-1 + v)
25 + 7v = (-1 * 3 + v * 3)
25 + 7v = (-3 + 3v)

Solving
25 + 7v = -3 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
25 + 7v + -3v = -3 + 3v + -3v

Combine like terms: 7v + -3v = 4v
25 + 4v = -3 + 3v + -3v

Combine like terms: 3v + -3v = 0
25 + 4v = -3 + 0
25 + 4v = -3

Add '-25' to each side of the equation.
25 + -25 + 4v = -3 + -25

Combine like terms: 25 + -25 = 0
0 + 4v = -3 + -25
4v = -3 + -25

Combine like terms: -3 + -25 = -28
4v = -28

Divide each side by '4'.
v = -7

Simplifying
v = -7