5v-4+2(3v+9)=-4(v+1)

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Solution for 5v-4+2(3v+9)=-4(v+1) equation:


Simplifying
5v + -4 + 2(3v + 9) = -4(v + 1)

Reorder the terms:
5v + -4 + 2(9 + 3v) = -4(v + 1)
5v + -4 + (9 * 2 + 3v * 2) = -4(v + 1)
5v + -4 + (18 + 6v) = -4(v + 1)

Reorder the terms:
-4 + 18 + 5v + 6v = -4(v + 1)

Combine like terms: -4 + 18 = 14
14 + 5v + 6v = -4(v + 1)

Combine like terms: 5v + 6v = 11v
14 + 11v = -4(v + 1)

Reorder the terms:
14 + 11v = -4(1 + v)
14 + 11v = (1 * -4 + v * -4)
14 + 11v = (-4 + -4v)

Solving
14 + 11v = -4 + -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.
14 + 11v + 4v = -4 + -4v + 4v

Combine like terms: 11v + 4v = 15v
14 + 15v = -4 + -4v + 4v

Combine like terms: -4v + 4v = 0
14 + 15v = -4 + 0
14 + 15v = -4

Add '-14' to each side of the equation.
14 + -14 + 15v = -4 + -14

Combine like terms: 14 + -14 = 0
0 + 15v = -4 + -14
15v = -4 + -14

Combine like terms: -4 + -14 = -18
15v = -18

Divide each side by '15'.
v = -1.2

Simplifying
v = -1.2

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