4(v+3)=7v-12

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Solution for 4(v+3)=7v-12 equation:


Simplifying
4(v + 3) = 7v + -12

Reorder the terms:
4(3 + v) = 7v + -12
(3 * 4 + v * 4) = 7v + -12
(12 + 4v) = 7v + -12

Reorder the terms:
12 + 4v = -12 + 7v

Solving
12 + 4v = -12 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
12 + 4v + -7v = -12 + 7v + -7v

Combine like terms: 4v + -7v = -3v
12 + -3v = -12 + 7v + -7v

Combine like terms: 7v + -7v = 0
12 + -3v = -12 + 0
12 + -3v = -12

Add '-12' to each side of the equation.
12 + -12 + -3v = -12 + -12

Combine like terms: 12 + -12 = 0
0 + -3v = -12 + -12
-3v = -12 + -12

Combine like terms: -12 + -12 = -24
-3v = -24

Divide each side by '-3'.
v = 8

Simplifying
v = 8

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