4(2v+7)+v=25+8v

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Solution for 4(2v+7)+v=25+8v equation:


Simplifying
4(2v + 7) + v = 25 + 8v

Reorder the terms:
4(7 + 2v) + v = 25 + 8v
(7 * 4 + 2v * 4) + v = 25 + 8v
(28 + 8v) + v = 25 + 8v

Combine like terms: 8v + v = 9v
28 + 9v = 25 + 8v

Solving
28 + 9v = 25 + 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.
28 + 9v + -8v = 25 + 8v + -8v

Combine like terms: 9v + -8v = 1v
28 + 1v = 25 + 8v + -8v

Combine like terms: 8v + -8v = 0
28 + 1v = 25 + 0
28 + 1v = 25

Add '-28' to each side of the equation.
28 + -28 + 1v = 25 + -28

Combine like terms: 28 + -28 = 0
0 + 1v = 25 + -28
1v = 25 + -28

Combine like terms: 25 + -28 = -3
1v = -3

Divide each side by '1'.
v = -3

Simplifying
v = -3

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