-56=5(-7v+7)+7(-3v-5)

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Solution for -56=5(-7v+7)+7(-3v-5) equation:


Simplifying
-56 = 5(-7v + 7) + 7(-3v + -5)

Reorder the terms:
-56 = 5(7 + -7v) + 7(-3v + -5)
-56 = (7 * 5 + -7v * 5) + 7(-3v + -5)
-56 = (35 + -35v) + 7(-3v + -5)

Reorder the terms:
-56 = 35 + -35v + 7(-5 + -3v)
-56 = 35 + -35v + (-5 * 7 + -3v * 7)
-56 = 35 + -35v + (-35 + -21v)

Reorder the terms:
-56 = 35 + -35 + -35v + -21v

Combine like terms: 35 + -35 = 0
-56 = 0 + -35v + -21v
-56 = -35v + -21v

Combine like terms: -35v + -21v = -56v
-56 = -56v

Solving
-56 = -56v

Solving for variable 'v'.

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

Add '56v' to each side of the equation.
-56 + 56v = -56v + 56v

Combine like terms: -56v + 56v = 0
-56 + 56v = 0

Add '56' to each side of the equation.
-56 + 56 + 56v = 0 + 56

Combine like terms: -56 + 56 = 0
0 + 56v = 0 + 56
56v = 0 + 56

Combine like terms: 0 + 56 = 56
56v = 56

Divide each side by '56'.
v = 1

Simplifying
v = 1

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