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

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


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

Reorder the terms:
-4(4 + v) = 3(v + 4) + 7
(4 * -4 + v * -4) = 3(v + 4) + 7
(-16 + -4v) = 3(v + 4) + 7

Reorder the terms:
-16 + -4v = 3(4 + v) + 7
-16 + -4v = (4 * 3 + v * 3) + 7
-16 + -4v = (12 + 3v) + 7

Reorder the terms:
-16 + -4v = 12 + 7 + 3v

Combine like terms: 12 + 7 = 19
-16 + -4v = 19 + 3v

Solving
-16 + -4v = 19 + 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.
-16 + -4v + -3v = 19 + 3v + -3v

Combine like terms: -4v + -3v = -7v
-16 + -7v = 19 + 3v + -3v

Combine like terms: 3v + -3v = 0
-16 + -7v = 19 + 0
-16 + -7v = 19

Add '16' to each side of the equation.
-16 + 16 + -7v = 19 + 16

Combine like terms: -16 + 16 = 0
0 + -7v = 19 + 16
-7v = 19 + 16

Combine like terms: 19 + 16 = 35
-7v = 35

Divide each side by '-7'.
v = -5

Simplifying
v = -5

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