6v+42=9(v+5)

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Solution for 6v+42=9(v+5) equation:


Simplifying
6v + 42 = 9(v + 5)

Reorder the terms:
42 + 6v = 9(v + 5)

Reorder the terms:
42 + 6v = 9(5 + v)
42 + 6v = (5 * 9 + v * 9)
42 + 6v = (45 + 9v)

Solving
42 + 6v = 45 + 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 = 45 + 9v + -9v

Combine like terms: 6v + -9v = -3v
42 + -3v = 45 + 9v + -9v

Combine like terms: 9v + -9v = 0
42 + -3v = 45 + 0
42 + -3v = 45

Add '-42' to each side of the equation.
42 + -42 + -3v = 45 + -42

Combine like terms: 42 + -42 = 0
0 + -3v = 45 + -42
-3v = 45 + -42

Combine like terms: 45 + -42 = 3
-3v = 3

Divide each side by '-3'.
v = -1

Simplifying
v = -1

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