-4(3v-1)+7v=7(v+2)

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Solution for -4(3v-1)+7v=7(v+2) equation:


Simplifying
-4(3v + -1) + 7v = 7(v + 2)

Reorder the terms:
-4(-1 + 3v) + 7v = 7(v + 2)
(-1 * -4 + 3v * -4) + 7v = 7(v + 2)
(4 + -12v) + 7v = 7(v + 2)

Combine like terms: -12v + 7v = -5v
4 + -5v = 7(v + 2)

Reorder the terms:
4 + -5v = 7(2 + v)
4 + -5v = (2 * 7 + v * 7)
4 + -5v = (14 + 7v)

Solving
4 + -5v = 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.
4 + -5v + -7v = 14 + 7v + -7v

Combine like terms: -5v + -7v = -12v
4 + -12v = 14 + 7v + -7v

Combine like terms: 7v + -7v = 0
4 + -12v = 14 + 0
4 + -12v = 14

Add '-4' to each side of the equation.
4 + -4 + -12v = 14 + -4

Combine like terms: 4 + -4 = 0
0 + -12v = 14 + -4
-12v = 14 + -4

Combine like terms: 14 + -4 = 10
-12v = 10

Divide each side by '-12'.
v = -0.8333333333

Simplifying
v = -0.8333333333

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