-5(5v-2)+9v=-6(v+1)

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Solution for -5(5v-2)+9v=-6(v+1) equation:


Simplifying
-5(5v + -2) + 9v = -6(v + 1)

Reorder the terms:
-5(-2 + 5v) + 9v = -6(v + 1)
(-2 * -5 + 5v * -5) + 9v = -6(v + 1)
(10 + -25v) + 9v = -6(v + 1)

Combine like terms: -25v + 9v = -16v
10 + -16v = -6(v + 1)

Reorder the terms:
10 + -16v = -6(1 + v)
10 + -16v = (1 * -6 + v * -6)
10 + -16v = (-6 + -6v)

Solving
10 + -16v = -6 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
10 + -16v + 6v = -6 + -6v + 6v

Combine like terms: -16v + 6v = -10v
10 + -10v = -6 + -6v + 6v

Combine like terms: -6v + 6v = 0
10 + -10v = -6 + 0
10 + -10v = -6

Add '-10' to each side of the equation.
10 + -10 + -10v = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -10v = -6 + -10
-10v = -6 + -10

Combine like terms: -6 + -10 = -16
-10v = -16

Divide each side by '-10'.
v = 1.6

Simplifying
v = 1.6

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