7v+8-4(-2v-1)=3(v-1)

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Solution for 7v+8-4(-2v-1)=3(v-1) equation:


Simplifying
7v + 8 + -4(-2v + -1) = 3(v + -1)

Reorder the terms:
7v + 8 + -4(-1 + -2v) = 3(v + -1)
7v + 8 + (-1 * -4 + -2v * -4) = 3(v + -1)
7v + 8 + (4 + 8v) = 3(v + -1)

Reorder the terms:
8 + 4 + 7v + 8v = 3(v + -1)

Combine like terms: 8 + 4 = 12
12 + 7v + 8v = 3(v + -1)

Combine like terms: 7v + 8v = 15v
12 + 15v = 3(v + -1)

Reorder the terms:
12 + 15v = 3(-1 + v)
12 + 15v = (-1 * 3 + v * 3)
12 + 15v = (-3 + 3v)

Solving
12 + 15v = -3 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
12 + 15v + -3v = -3 + 3v + -3v

Combine like terms: 15v + -3v = 12v
12 + 12v = -3 + 3v + -3v

Combine like terms: 3v + -3v = 0
12 + 12v = -3 + 0
12 + 12v = -3

Add '-12' to each side of the equation.
12 + -12 + 12v = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 12v = -3 + -12
12v = -3 + -12

Combine like terms: -3 + -12 = -15
12v = -15

Divide each side by '12'.
v = -1.25

Simplifying
v = -1.25

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