-6(-3+4)-2v=7(v-4)-8

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Solution for -6(-3+4)-2v=7(v-4)-8 equation:


Simplifying
-6(-3 + 4) + -2v = 7(v + -4) + -8

Combine like terms: -3 + 4 = 1
-6(1) + -2v = 7(v + -4) + -8

Multiply -6 * 1
-6 + -2v = 7(v + -4) + -8

Reorder the terms:
-6 + -2v = 7(-4 + v) + -8
-6 + -2v = (-4 * 7 + v * 7) + -8
-6 + -2v = (-28 + 7v) + -8

Reorder the terms:
-6 + -2v = -28 + -8 + 7v

Combine like terms: -28 + -8 = -36
-6 + -2v = -36 + 7v

Solving
-6 + -2v = -36 + 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.
-6 + -2v + -7v = -36 + 7v + -7v

Combine like terms: -2v + -7v = -9v
-6 + -9v = -36 + 7v + -7v

Combine like terms: 7v + -7v = 0
-6 + -9v = -36 + 0
-6 + -9v = -36

Add '6' to each side of the equation.
-6 + 6 + -9v = -36 + 6

Combine like terms: -6 + 6 = 0
0 + -9v = -36 + 6
-9v = -36 + 6

Combine like terms: -36 + 6 = -30
-9v = -30

Divide each side by '-9'.
v = 3.333333333

Simplifying
v = 3.333333333

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