3(v-1)+4v=3(v-1)+7

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

Simplifying
3(v + -1) + 4v = 3(v + -1) + 7

Reorder the terms:
3(-1 + v) + 4v = 3(v + -1) + 7
(-1 * 3 + v * 3) + 4v = 3(v + -1) + 7
(-3 + 3v) + 4v = 3(v + -1) + 7

Combine like terms: 3v + 4v = 7v
-3 + 7v = 3(v + -1) + 7

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

Reorder the terms:
-3 + 7v = -3 + 7 + 3v

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

Solving
-3 + 7v = 4 + 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.
-3 + 7v + -3v = 4 + 3v + -3v

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

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

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

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

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

Divide each side by '4'.
v = 1.75

Simplifying
v = 1.75