6(v-7)=9v-30

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Solution for 6(v-7)=9v-30 equation:


Simplifying
6(v + -7) = 9v + -30

Reorder the terms:
6(-7 + v) = 9v + -30
(-7 * 6 + v * 6) = 9v + -30
(-42 + 6v) = 9v + -30

Reorder the terms:
-42 + 6v = -30 + 9v

Solving
-42 + 6v = -30 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
-42 + 6v + -9v = -30 + 9v + -9v

Combine like terms: 6v + -9v = -3v
-42 + -3v = -30 + 9v + -9v

Combine like terms: 9v + -9v = 0
-42 + -3v = -30 + 0
-42 + -3v = -30

Add '42' to each side of the equation.
-42 + 42 + -3v = -30 + 42

Combine like terms: -42 + 42 = 0
0 + -3v = -30 + 42
-3v = -30 + 42

Combine like terms: -30 + 42 = 12
-3v = 12

Divide each side by '-3'.
v = -4

Simplifying
v = -4

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