5(v+2)=-2v+45

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Solution for 5(v+2)=-2v+45 equation:


Simplifying
5(v + 2) = -2v + 45

Reorder the terms:
5(2 + v) = -2v + 45
(2 * 5 + v * 5) = -2v + 45
(10 + 5v) = -2v + 45

Reorder the terms:
10 + 5v = 45 + -2v

Solving
10 + 5v = 45 + -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.
10 + 5v + 2v = 45 + -2v + 2v

Combine like terms: 5v + 2v = 7v
10 + 7v = 45 + -2v + 2v

Combine like terms: -2v + 2v = 0
10 + 7v = 45 + 0
10 + 7v = 45

Add '-10' to each side of the equation.
10 + -10 + 7v = 45 + -10

Combine like terms: 10 + -10 = 0
0 + 7v = 45 + -10
7v = 45 + -10

Combine like terms: 45 + -10 = 35
7v = 35

Divide each side by '7'.
v = 5

Simplifying
v = 5

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