-4(3v-8)+9v=7(v+2)

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Solution for -4(3v-8)+9v=7(v+2) equation: 


Simplifying
-4(3v + -8) + 9v = 7(v + 2)

Reorder the terms:
-4(-8 + 3v) + 9v = 7(v + 2)
(-8 * -4 + 3v * -4) + 9v = 7(v + 2)
(32 + -12v) + 9v = 7(v + 2)

Combine like terms: -12v + 9v = -3v
32 + -3v = 7(v + 2)

Reorder the terms:
32 + -3v = 7(2 + v)
32 + -3v = (2 * 7 + v * 7)
32 + -3v = (14 + 7v)

Solving
32 + -3v = 14 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
32 + -3v + -7v = 14 + 7v + -7v

Combine like terms: -3v + -7v = -10v
32 + -10v = 14 + 7v + -7v

Combine like terms: 7v + -7v = 0
32 + -10v = 14 + 0
32 + -10v = 14

Add '-32' to each side of the equation.
32 + -32 + -10v = 14 + -32

Combine like terms: 32 + -32 = 0
0 + -10v = 14 + -32
-10v = 14 + -32

Combine like terms: 14 + -32 = -18
-10v = -18

Divide each side by '-10'.
v = 1.8

Simplifying
v = 1.8

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