4(5v-11)=-7(-10v-8)

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Solution for 4(5v-11)=-7(-10v-8) equation:


Simplifying
4(5v + -11) = -7(-10v + -8)

Reorder the terms:
4(-11 + 5v) = -7(-10v + -8)
(-11 * 4 + 5v * 4) = -7(-10v + -8)
(-44 + 20v) = -7(-10v + -8)

Reorder the terms:
-44 + 20v = -7(-8 + -10v)
-44 + 20v = (-8 * -7 + -10v * -7)
-44 + 20v = (56 + 70v)

Solving
-44 + 20v = 56 + 70v

Solving for variable 'v'.

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

Add '-70v' to each side of the equation.
-44 + 20v + -70v = 56 + 70v + -70v

Combine like terms: 20v + -70v = -50v
-44 + -50v = 56 + 70v + -70v

Combine like terms: 70v + -70v = 0
-44 + -50v = 56 + 0
-44 + -50v = 56

Add '44' to each side of the equation.
-44 + 44 + -50v = 56 + 44

Combine like terms: -44 + 44 = 0
0 + -50v = 56 + 44
-50v = 56 + 44

Combine like terms: 56 + 44 = 100
-50v = 100

Divide each side by '-50'.
v = -2

Simplifying
v = -2

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