2(v+4)=-3(6v+27)

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Solution for 2(v+4)=-3(6v+27) equation:


Simplifying
2(v + 4) = -3(6v + 27)

Reorder the terms:
2(4 + v) = -3(6v + 27)
(4 * 2 + v * 2) = -3(6v + 27)
(8 + 2v) = -3(6v + 27)

Reorder the terms:
8 + 2v = -3(27 + 6v)
8 + 2v = (27 * -3 + 6v * -3)
8 + 2v = (-81 + -18v)

Solving
8 + 2v = -81 + -18v

Solving for variable 'v'.

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

Add '18v' to each side of the equation.
8 + 2v + 18v = -81 + -18v + 18v

Combine like terms: 2v + 18v = 20v
8 + 20v = -81 + -18v + 18v

Combine like terms: -18v + 18v = 0
8 + 20v = -81 + 0
8 + 20v = -81

Add '-8' to each side of the equation.
8 + -8 + 20v = -81 + -8

Combine like terms: 8 + -8 = 0
0 + 20v = -81 + -8
20v = -81 + -8

Combine like terms: -81 + -8 = -89
20v = -89

Divide each side by '20'.
v = -4.45

Simplifying
v = -4.45

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