10v-5v=-7(6+7v)+7(3v+6)

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Solution for 10v-5v=-7(6+7v)+7(3v+6) equation: 


Simplifying
10v + -5v = -7(6 + 7v) + 7(3v + 6)

Combine like terms: 10v + -5v = 5v
5v = -7(6 + 7v) + 7(3v + 6)
5v = (6 * -7 + 7v * -7) + 7(3v + 6)
5v = (-42 + -49v) + 7(3v + 6)

Reorder the terms:
5v = -42 + -49v + 7(6 + 3v)
5v = -42 + -49v + (6 * 7 + 3v * 7)
5v = -42 + -49v + (42 + 21v)

Reorder the terms:
5v = -42 + 42 + -49v + 21v

Combine like terms: -42 + 42 = 0
5v = 0 + -49v + 21v
5v = -49v + 21v

Combine like terms: -49v + 21v = -28v
5v = -28v

Solving
5v = -28v

Solving for variable 'v'.

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

Add '28v' to each side of the equation.
5v + 28v = -28v + 28v

Combine like terms: 5v + 28v = 33v
33v = -28v + 28v

Combine like terms: -28v + 28v = 0
33v = 0

Divide each side by '33'.
v = 0

Simplifying
v = 0

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