6(v+8)-7(v-4)=72

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Solution for 6(v+8)-7(v-4)=72 equation: 


Simplifying
6(v + 8) + -7(v + -4) = 72

Reorder the terms:
6(8 + v) + -7(v + -4) = 72
(8 * 6 + v * 6) + -7(v + -4) = 72
(48 + 6v) + -7(v + -4) = 72

Reorder the terms:
48 + 6v + -7(-4 + v) = 72
48 + 6v + (-4 * -7 + v * -7) = 72
48 + 6v + (28 + -7v) = 72

Reorder the terms:
48 + 28 + 6v + -7v = 72

Combine like terms: 48 + 28 = 76
76 + 6v + -7v = 72

Combine like terms: 6v + -7v = -1v
76 + -1v = 72

Solving
76 + -1v = 72

Solving for variable 'v'.

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

Add '-76' to each side of the equation.
76 + -76 + -1v = 72 + -76

Combine like terms: 76 + -76 = 0
0 + -1v = 72 + -76
-1v = 72 + -76

Combine like terms: 72 + -76 = -4
-1v = -4

Divide each side by '-1'.
v = 4

Simplifying
v = 4

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