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

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


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

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

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

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

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

Reorder the terms:
-3 + 4v = -3 + 7 + 3v

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

Solving
-3 + 4v = 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 + 4v + -3v = 4 + 3v + -3v

Combine like terms: 4v + -3v = 1v
-3 + 1v = 4 + 3v + -3v

Combine like terms: 3v + -3v = 0
-3 + 1v = 4 + 0
-3 + 1v = 4

Add '3' to each side of the equation.
-3 + 3 + 1v = 4 + 3

Combine like terms: -3 + 3 = 0
0 + 1v = 4 + 3
1v = 4 + 3

Combine like terms: 4 + 3 = 7
1v = 7

Divide each side by '1'.
v = 7

Simplifying
v = 7

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