4(v+7)=-9v+2

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Solution for 4(v+7)=-9v+2 equation: 


Simplifying
4(v + 7) = -9v + 2

Reorder the terms:
4(7 + v) = -9v + 2
(7 * 4 + v * 4) = -9v + 2
(28 + 4v) = -9v + 2

Reorder the terms:
28 + 4v = 2 + -9v

Solving
28 + 4v = 2 + -9v

Solving for variable 'v'.

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

Add '9v' to each side of the equation.
28 + 4v + 9v = 2 + -9v + 9v

Combine like terms: 4v + 9v = 13v
28 + 13v = 2 + -9v + 9v

Combine like terms: -9v + 9v = 0
28 + 13v = 2 + 0
28 + 13v = 2

Add '-28' to each side of the equation.
28 + -28 + 13v = 2 + -28

Combine like terms: 28 + -28 = 0
0 + 13v = 2 + -28
13v = 2 + -28

Combine like terms: 2 + -28 = -26
13v = -26

Divide each side by '13'.
v = -2

Simplifying
v = -2

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