7(5v+6)=32-4v

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Solution for 7(5v+6)=32-4v equation:


Simplifying
7(5v + 6) = 32 + -4v

Reorder the terms:
7(6 + 5v) = 32 + -4v
(6 * 7 + 5v * 7) = 32 + -4v
(42 + 35v) = 32 + -4v

Solving
42 + 35v = 32 + -4v

Solving for variable 'v'.

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

Add '4v' to each side of the equation.
42 + 35v + 4v = 32 + -4v + 4v

Combine like terms: 35v + 4v = 39v
42 + 39v = 32 + -4v + 4v

Combine like terms: -4v + 4v = 0
42 + 39v = 32 + 0
42 + 39v = 32

Add '-42' to each side of the equation.
42 + -42 + 39v = 32 + -42

Combine like terms: 42 + -42 = 0
0 + 39v = 32 + -42
39v = 32 + -42

Combine like terms: 32 + -42 = -10
39v = -10

Divide each side by '39'.
v = -0.2564102564

Simplifying
v = -0.2564102564

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