-4(v+4)+2v+7=6v+12

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Solution for -4(v+4)+2v+7=6v+12 equation:


Simplifying
-4(v + 4) + 2v + 7 = 6v + 12

Reorder the terms:
-4(4 + v) + 2v + 7 = 6v + 12
(4 * -4 + v * -4) + 2v + 7 = 6v + 12
(-16 + -4v) + 2v + 7 = 6v + 12

Reorder the terms:
-16 + 7 + -4v + 2v = 6v + 12

Combine like terms: -16 + 7 = -9
-9 + -4v + 2v = 6v + 12

Combine like terms: -4v + 2v = -2v
-9 + -2v = 6v + 12

Reorder the terms:
-9 + -2v = 12 + 6v

Solving
-9 + -2v = 12 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
-9 + -2v + -6v = 12 + 6v + -6v

Combine like terms: -2v + -6v = -8v
-9 + -8v = 12 + 6v + -6v

Combine like terms: 6v + -6v = 0
-9 + -8v = 12 + 0
-9 + -8v = 12

Add '9' to each side of the equation.
-9 + 9 + -8v = 12 + 9

Combine like terms: -9 + 9 = 0
0 + -8v = 12 + 9
-8v = 12 + 9

Combine like terms: 12 + 9 = 21
-8v = 21

Divide each side by '-8'.
v = -2.625

Simplifying
v = -2.625

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