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

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


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

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

Reorder the terms:
12 + -9v = -7(-2 + v)
12 + -9v = (-2 * -7 + v * -7)
12 + -9v = (14 + -7v)

Solving
12 + -9v = 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.
12 + -9v + 7v = 14 + -7v + 7v

Combine like terms: -9v + 7v = -2v
12 + -2v = 14 + -7v + 7v

Combine like terms: -7v + 7v = 0
12 + -2v = 14 + 0
12 + -2v = 14

Add '-12' to each side of the equation.
12 + -12 + -2v = 14 + -12

Combine like terms: 12 + -12 = 0
0 + -2v = 14 + -12
-2v = 14 + -12

Combine like terms: 14 + -12 = 2
-2v = 2

Divide each side by '-2'.
v = -1

Simplifying
v = -1

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