3v-4(v-4)=-20+8v

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Solution for 3v-4(v-4)=-20+8v equation:


Simplifying
3v + -4(v + -4) = -20 + 8v

Reorder the terms:
3v + -4(-4 + v) = -20 + 8v
3v + (-4 * -4 + v * -4) = -20 + 8v
3v + (16 + -4v) = -20 + 8v

Reorder the terms:
16 + 3v + -4v = -20 + 8v

Combine like terms: 3v + -4v = -1v
16 + -1v = -20 + 8v

Solving
16 + -1v = -20 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
16 + -1v + -8v = -20 + 8v + -8v

Combine like terms: -1v + -8v = -9v
16 + -9v = -20 + 8v + -8v

Combine like terms: 8v + -8v = 0
16 + -9v = -20 + 0
16 + -9v = -20

Add '-16' to each side of the equation.
16 + -16 + -9v = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -9v = -20 + -16
-9v = -20 + -16

Combine like terms: -20 + -16 = -36
-9v = -36

Divide each side by '-9'.
v = 4

Simplifying
v = 4

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