4=5(v+4)-7v

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Solution for 4=5(v+4)-7v equation:


Simplifying
4 = 5(v + 4) + -7v

Reorder the terms:
4 = 5(4 + v) + -7v
4 = (4 * 5 + v * 5) + -7v
4 = (20 + 5v) + -7v

Combine like terms: 5v + -7v = -2v
4 = 20 + -2v

Solving
4 = 20 + -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.
4 + 2v = 20 + -2v + 2v

Combine like terms: -2v + 2v = 0
4 + 2v = 20 + 0
4 + 2v = 20

Add '-4' to each side of the equation.
4 + -4 + 2v = 20 + -4

Combine like terms: 4 + -4 = 0
0 + 2v = 20 + -4
2v = 20 + -4

Combine like terms: 20 + -4 = 16
2v = 16

Divide each side by '2'.
v = 8

Simplifying
v = 8

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