6(v-5)+4(-7-6v)=32

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Solution for 6(v-5)+4(-7-6v)=32 equation: 


Simplifying
6(v + -5) + 4(-7 + -6v) = 32

Reorder the terms:
6(-5 + v) + 4(-7 + -6v) = 32
(-5 * 6 + v * 6) + 4(-7 + -6v) = 32
(-30 + 6v) + 4(-7 + -6v) = 32
-30 + 6v + (-7 * 4 + -6v * 4) = 32
-30 + 6v + (-28 + -24v) = 32

Reorder the terms:
-30 + -28 + 6v + -24v = 32

Combine like terms: -30 + -28 = -58
-58 + 6v + -24v = 32

Combine like terms: 6v + -24v = -18v
-58 + -18v = 32

Solving
-58 + -18v = 32

Solving for variable 'v'.

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

Add '58' to each side of the equation.
-58 + 58 + -18v = 32 + 58

Combine like terms: -58 + 58 = 0
0 + -18v = 32 + 58
-18v = 32 + 58

Combine like terms: 32 + 58 = 90
-18v = 90

Divide each side by '-18'.
v = -5

Simplifying
v = -5

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