16-4v=6v-4(v-7)

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Solution for 16-4v=6v-4(v-7) equation:


Simplifying
16 + -4v = 6v + -4(v + -7)

Reorder the terms:
16 + -4v = 6v + -4(-7 + v)
16 + -4v = 6v + (-7 * -4 + v * -4)
16 + -4v = 6v + (28 + -4v)

Reorder the terms:
16 + -4v = 28 + 6v + -4v

Combine like terms: 6v + -4v = 2v
16 + -4v = 28 + 2v

Solving
16 + -4v = 28 + 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 + -4v + -2v = 28 + 2v + -2v

Combine like terms: -4v + -2v = -6v
16 + -6v = 28 + 2v + -2v

Combine like terms: 2v + -2v = 0
16 + -6v = 28 + 0
16 + -6v = 28

Add '-16' to each side of the equation.
16 + -16 + -6v = 28 + -16

Combine like terms: 16 + -16 = 0
0 + -6v = 28 + -16
-6v = 28 + -16

Combine like terms: 28 + -16 = 12
-6v = 12

Divide each side by '-6'.
v = -2

Simplifying
v = -2

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