-6v+20=7(4v-3)+7

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Solution for -6v+20=7(4v-3)+7 equation:


Simplifying
-6v + 20 = 7(4v + -3) + 7

Reorder the terms:
20 + -6v = 7(4v + -3) + 7

Reorder the terms:
20 + -6v = 7(-3 + 4v) + 7
20 + -6v = (-3 * 7 + 4v * 7) + 7
20 + -6v = (-21 + 28v) + 7

Reorder the terms:
20 + -6v = -21 + 7 + 28v

Combine like terms: -21 + 7 = -14
20 + -6v = -14 + 28v

Solving
20 + -6v = -14 + 28v

Solving for variable 'v'.

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

Add '-28v' to each side of the equation.
20 + -6v + -28v = -14 + 28v + -28v

Combine like terms: -6v + -28v = -34v
20 + -34v = -14 + 28v + -28v

Combine like terms: 28v + -28v = 0
20 + -34v = -14 + 0
20 + -34v = -14

Add '-20' to each side of the equation.
20 + -20 + -34v = -14 + -20

Combine like terms: 20 + -20 = 0
0 + -34v = -14 + -20
-34v = -14 + -20

Combine like terms: -14 + -20 = -34
-34v = -34

Divide each side by '-34'.
v = 1

Simplifying
v = 1

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