4(v+4)=-7v-6(v+3)

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Solution for 4(v+4)=-7v-6(v+3) equation: 


Simplifying
4(v + 4) = -7v + -6(v + 3)

Reorder the terms:
4(4 + v) = -7v + -6(v + 3)
(4 * 4 + v * 4) = -7v + -6(v + 3)
(16 + 4v) = -7v + -6(v + 3)

Reorder the terms:
16 + 4v = -7v + -6(3 + v)
16 + 4v = -7v + (3 * -6 + v * -6)
16 + 4v = -7v + (-18 + -6v)

Reorder the terms:
16 + 4v = -18 + -7v + -6v

Combine like terms: -7v + -6v = -13v
16 + 4v = -18 + -13v

Solving
16 + 4v = -18 + -13v

Solving for variable 'v'.

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

Add '13v' to each side of the equation.
16 + 4v + 13v = -18 + -13v + 13v

Combine like terms: 4v + 13v = 17v
16 + 17v = -18 + -13v + 13v

Combine like terms: -13v + 13v = 0
16 + 17v = -18 + 0
16 + 17v = -18

Add '-16' to each side of the equation.
16 + -16 + 17v = -18 + -16

Combine like terms: 16 + -16 = 0
0 + 17v = -18 + -16
17v = -18 + -16

Combine like terms: -18 + -16 = -34
17v = -34

Divide each side by '17'.
v = -2

Simplifying
v = -2

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