-3(4v-9)+7v=5(v+7)

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Solution for -3(4v-9)+7v=5(v+7) equation:


Simplifying
-3(4v + -9) + 7v = 5(v + 7)

Reorder the terms:
-3(-9 + 4v) + 7v = 5(v + 7)
(-9 * -3 + 4v * -3) + 7v = 5(v + 7)
(27 + -12v) + 7v = 5(v + 7)

Combine like terms: -12v + 7v = -5v
27 + -5v = 5(v + 7)

Reorder the terms:
27 + -5v = 5(7 + v)
27 + -5v = (7 * 5 + v * 5)
27 + -5v = (35 + 5v)

Solving
27 + -5v = 35 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
27 + -5v + -5v = 35 + 5v + -5v

Combine like terms: -5v + -5v = -10v
27 + -10v = 35 + 5v + -5v

Combine like terms: 5v + -5v = 0
27 + -10v = 35 + 0
27 + -10v = 35

Add '-27' to each side of the equation.
27 + -27 + -10v = 35 + -27

Combine like terms: 27 + -27 = 0
0 + -10v = 35 + -27
-10v = 35 + -27

Combine like terms: 35 + -27 = 8
-10v = 8

Divide each side by '-10'.
v = -0.8

Simplifying
v = -0.8

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