-8(v-6)-3(-6-5v)=4-v+6v

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Solution for -8(v-6)-3(-6-5v)=4-v+6v equation:


Simplifying
-8(v + -6) + -3(-6 + -5v) = 4 + -1v + 6v

Reorder the terms:
-8(-6 + v) + -3(-6 + -5v) = 4 + -1v + 6v
(-6 * -8 + v * -8) + -3(-6 + -5v) = 4 + -1v + 6v
(48 + -8v) + -3(-6 + -5v) = 4 + -1v + 6v
48 + -8v + (-6 * -3 + -5v * -3) = 4 + -1v + 6v
48 + -8v + (18 + 15v) = 4 + -1v + 6v

Reorder the terms:
48 + 18 + -8v + 15v = 4 + -1v + 6v

Combine like terms: 48 + 18 = 66
66 + -8v + 15v = 4 + -1v + 6v

Combine like terms: -8v + 15v = 7v
66 + 7v = 4 + -1v + 6v

Combine like terms: -1v + 6v = 5v
66 + 7v = 4 + 5v

Solving
66 + 7v = 4 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
66 + 7v + -5v = 4 + 5v + -5v

Combine like terms: 7v + -5v = 2v
66 + 2v = 4 + 5v + -5v

Combine like terms: 5v + -5v = 0
66 + 2v = 4 + 0
66 + 2v = 4

Add '-66' to each side of the equation.
66 + -66 + 2v = 4 + -66

Combine like terms: 66 + -66 = 0
0 + 2v = 4 + -66
2v = 4 + -66

Combine like terms: 4 + -66 = -62
2v = -62

Divide each side by '2'.
v = -31

Simplifying
v = -31

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