2(3v-8)-5(-8v-5)=-37

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Solution for 2(3v-8)-5(-8v-5)=-37 equation:


Simplifying
2(3v + -8) + -5(-8v + -5) = -37

Reorder the terms:
2(-8 + 3v) + -5(-8v + -5) = -37
(-8 * 2 + 3v * 2) + -5(-8v + -5) = -37
(-16 + 6v) + -5(-8v + -5) = -37

Reorder the terms:
-16 + 6v + -5(-5 + -8v) = -37
-16 + 6v + (-5 * -5 + -8v * -5) = -37
-16 + 6v + (25 + 40v) = -37

Reorder the terms:
-16 + 25 + 6v + 40v = -37

Combine like terms: -16 + 25 = 9
9 + 6v + 40v = -37

Combine like terms: 6v + 40v = 46v
9 + 46v = -37

Solving
9 + 46v = -37

Solving for variable 'v'.

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

Add '-9' to each side of the equation.
9 + -9 + 46v = -37 + -9

Combine like terms: 9 + -9 = 0
0 + 46v = -37 + -9
46v = -37 + -9

Combine like terms: -37 + -9 = -46
46v = -46

Divide each side by '46'.
v = -1

Simplifying
v = -1

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