4(v+9)+12=-(v-3)

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Solution for 4(v+9)+12=-(v-3) equation: 


Simplifying
4(v + 9) + 12 = -1(v + -3)

Reorder the terms:
4(9 + v) + 12 = -1(v + -3)
(9 * 4 + v * 4) + 12 = -1(v + -3)
(36 + 4v) + 12 = -1(v + -3)

Reorder the terms:
36 + 12 + 4v = -1(v + -3)

Combine like terms: 36 + 12 = 48
48 + 4v = -1(v + -3)

Reorder the terms:
48 + 4v = -1(-3 + v)
48 + 4v = (-3 * -1 + v * -1)
48 + 4v = (3 + -1v)

Solving
48 + 4v = 3 + -1v

Solving for variable 'v'.

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

Add 'v' to each side of the equation.
48 + 4v + v = 3 + -1v + v

Combine like terms: 4v + v = 5v
48 + 5v = 3 + -1v + v

Combine like terms: -1v + v = 0
48 + 5v = 3 + 0
48 + 5v = 3

Add '-48' to each side of the equation.
48 + -48 + 5v = 3 + -48

Combine like terms: 48 + -48 = 0
0 + 5v = 3 + -48
5v = 3 + -48

Combine like terms: 3 + -48 = -45
5v = -45

Divide each side by '5'.
v = -9

Simplifying
v = -9

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