-3(v+5)+2(8v+1)=78

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Solution for -3(v+5)+2(8v+1)=78 equation:


Simplifying
-3(v + 5) + 2(8v + 1) = 78

Reorder the terms:
-3(5 + v) + 2(8v + 1) = 78
(5 * -3 + v * -3) + 2(8v + 1) = 78
(-15 + -3v) + 2(8v + 1) = 78

Reorder the terms:
-15 + -3v + 2(1 + 8v) = 78
-15 + -3v + (1 * 2 + 8v * 2) = 78
-15 + -3v + (2 + 16v) = 78

Reorder the terms:
-15 + 2 + -3v + 16v = 78

Combine like terms: -15 + 2 = -13
-13 + -3v + 16v = 78

Combine like terms: -3v + 16v = 13v
-13 + 13v = 78

Solving
-13 + 13v = 78

Solving for variable 'v'.

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

Add '13' to each side of the equation.
-13 + 13 + 13v = 78 + 13

Combine like terms: -13 + 13 = 0
0 + 13v = 78 + 13
13v = 78 + 13

Combine like terms: 78 + 13 = 91
13v = 91

Divide each side by '13'.
v = 7

Simplifying
v = 7

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