-5w+12=9(w+6)

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Solution for -5w+12=9(w+6) equation:


Simplifying
-5w + 12 = 9(w + 6)

Reorder the terms:
12 + -5w = 9(w + 6)

Reorder the terms:
12 + -5w = 9(6 + w)
12 + -5w = (6 * 9 + w * 9)
12 + -5w = (54 + 9w)

Solving
12 + -5w = 54 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
12 + -5w + -9w = 54 + 9w + -9w

Combine like terms: -5w + -9w = -14w
12 + -14w = 54 + 9w + -9w

Combine like terms: 9w + -9w = 0
12 + -14w = 54 + 0
12 + -14w = 54

Add '-12' to each side of the equation.
12 + -12 + -14w = 54 + -12

Combine like terms: 12 + -12 = 0
0 + -14w = 54 + -12
-14w = 54 + -12

Combine like terms: 54 + -12 = 42
-14w = 42

Divide each side by '-14'.
w = -3

Simplifying
w = -3

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