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

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


Simplifying
2(8 + -3v) = 8(-1v + -4) + 6v
(8 * 2 + -3v * 2) = 8(-1v + -4) + 6v
(16 + -6v) = 8(-1v + -4) + 6v

Reorder the terms:
16 + -6v = 8(-4 + -1v) + 6v
16 + -6v = (-4 * 8 + -1v * 8) + 6v
16 + -6v = (-32 + -8v) + 6v

Combine like terms: -8v + 6v = -2v
16 + -6v = -32 + -2v

Solving
16 + -6v = -32 + -2v

Solving for variable 'v'.

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

Add '2v' to each side of the equation.
16 + -6v + 2v = -32 + -2v + 2v

Combine like terms: -6v + 2v = -4v
16 + -4v = -32 + -2v + 2v

Combine like terms: -2v + 2v = 0
16 + -4v = -32 + 0
16 + -4v = -32

Add '-16' to each side of the equation.
16 + -16 + -4v = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -4v = -32 + -16
-4v = -32 + -16

Combine like terms: -32 + -16 = -48
-4v = -48

Divide each side by '-4'.
v = 12

Simplifying
v = 12

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