4(5-3v)-6(v-6)=-52

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Solution for 4(5-3v)-6(v-6)=-52 equation: 


Simplifying
4(5 + -3v) + -6(v + -6) = -52
(5 * 4 + -3v * 4) + -6(v + -6) = -52
(20 + -12v) + -6(v + -6) = -52

Reorder the terms:
20 + -12v + -6(-6 + v) = -52
20 + -12v + (-6 * -6 + v * -6) = -52
20 + -12v + (36 + -6v) = -52

Reorder the terms:
20 + 36 + -12v + -6v = -52

Combine like terms: 20 + 36 = 56
56 + -12v + -6v = -52

Combine like terms: -12v + -6v = -18v
56 + -18v = -52

Solving
56 + -18v = -52

Solving for variable 'v'.

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

Add '-56' to each side of the equation.
56 + -56 + -18v = -52 + -56

Combine like terms: 56 + -56 = 0
0 + -18v = -52 + -56
-18v = -52 + -56

Combine like terms: -52 + -56 = -108
-18v = -108

Divide each side by '-18'.
v = 6

Simplifying
v = 6

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