7(v-1)=3v+5-3(-4v-2)

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Solution for 7(v-1)=3v+5-3(-4v-2) equation:


Simplifying
7(v + -1) = 3v + 5 + -3(-4v + -2)

Reorder the terms:
7(-1 + v) = 3v + 5 + -3(-4v + -2)
(-1 * 7 + v * 7) = 3v + 5 + -3(-4v + -2)
(-7 + 7v) = 3v + 5 + -3(-4v + -2)

Reorder the terms:
-7 + 7v = 3v + 5 + -3(-2 + -4v)
-7 + 7v = 3v + 5 + (-2 * -3 + -4v * -3)
-7 + 7v = 3v + 5 + (6 + 12v)

Reorder the terms:
-7 + 7v = 5 + 6 + 3v + 12v

Combine like terms: 5 + 6 = 11
-7 + 7v = 11 + 3v + 12v

Combine like terms: 3v + 12v = 15v
-7 + 7v = 11 + 15v

Solving
-7 + 7v = 11 + 15v

Solving for variable 'v'.

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

Add '-15v' to each side of the equation.
-7 + 7v + -15v = 11 + 15v + -15v

Combine like terms: 7v + -15v = -8v
-7 + -8v = 11 + 15v + -15v

Combine like terms: 15v + -15v = 0
-7 + -8v = 11 + 0
-7 + -8v = 11

Add '7' to each side of the equation.
-7 + 7 + -8v = 11 + 7

Combine like terms: -7 + 7 = 0
0 + -8v = 11 + 7
-8v = 11 + 7

Combine like terms: 11 + 7 = 18
-8v = 18

Divide each side by '-8'.
v = -2.25

Simplifying
v = -2.25

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