5(v+5)=-4(4v-4)+3v

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Solution for 5(v+5)=-4(4v-4)+3v equation:


Simplifying
5(v + 5) = -4(4v + -4) + 3v

Reorder the terms:
5(5 + v) = -4(4v + -4) + 3v
(5 * 5 + v * 5) = -4(4v + -4) + 3v
(25 + 5v) = -4(4v + -4) + 3v

Reorder the terms:
25 + 5v = -4(-4 + 4v) + 3v
25 + 5v = (-4 * -4 + 4v * -4) + 3v
25 + 5v = (16 + -16v) + 3v

Combine like terms: -16v + 3v = -13v
25 + 5v = 16 + -13v

Solving
25 + 5v = 16 + -13v

Solving for variable 'v'.

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

Add '13v' to each side of the equation.
25 + 5v + 13v = 16 + -13v + 13v

Combine like terms: 5v + 13v = 18v
25 + 18v = 16 + -13v + 13v

Combine like terms: -13v + 13v = 0
25 + 18v = 16 + 0
25 + 18v = 16

Add '-25' to each side of the equation.
25 + -25 + 18v = 16 + -25

Combine like terms: 25 + -25 = 0
0 + 18v = 16 + -25
18v = 16 + -25

Combine like terms: 16 + -25 = -9
18v = -9

Divide each side by '18'.
v = -0.5

Simplifying
v = -0.5

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