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

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


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

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

Combine like terms: 6v + 4v = 10v
8 + 3v = -48 + 10v

Solving
8 + 3v = -48 + 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
8 + 3v + -10v = -48 + 10v + -10v

Combine like terms: 3v + -10v = -7v
8 + -7v = -48 + 10v + -10v

Combine like terms: 10v + -10v = 0
8 + -7v = -48 + 0
8 + -7v = -48

Add '-8' to each side of the equation.
8 + -8 + -7v = -48 + -8

Combine like terms: 8 + -8 = 0
0 + -7v = -48 + -8
-7v = -48 + -8

Combine like terms: -48 + -8 = -56
-7v = -56

Divide each side by '-7'.
v = 8

Simplifying
v = 8

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