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

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


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

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

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

Reorder the terms:
-6 + -2v = -12 + 7 + 3v

Combine like terms: -12 + 7 = -5
-6 + -2v = -5 + 3v

Solving
-6 + -2v = -5 + 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.
-6 + -2v + -3v = -5 + 3v + -3v

Combine like terms: -2v + -3v = -5v
-6 + -5v = -5 + 3v + -3v

Combine like terms: 3v + -3v = 0
-6 + -5v = -5 + 0
-6 + -5v = -5

Add '6' to each side of the equation.
-6 + 6 + -5v = -5 + 6

Combine like terms: -6 + 6 = 0
0 + -5v = -5 + 6
-5v = -5 + 6

Combine like terms: -5 + 6 = 1
-5v = 1

Divide each side by '-5'.
v = -0.2

Simplifying
v = -0.2

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