-15=-3w+6(w-6)

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Solution for -15=-3w+6(w-6) equation:


Simplifying
-15 = -3w + 6(w + -6)

Reorder the terms:
-15 = -3w + 6(-6 + w)
-15 = -3w + (-6 * 6 + w * 6)
-15 = -3w + (-36 + 6w)

Reorder the terms:
-15 = -36 + -3w + 6w

Combine like terms: -3w + 6w = 3w
-15 = -36 + 3w

Solving
-15 = -36 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-15 + -3w = -36 + 3w + -3w

Combine like terms: 3w + -3w = 0
-15 + -3w = -36 + 0
-15 + -3w = -36

Add '15' to each side of the equation.
-15 + 15 + -3w = -36 + 15

Combine like terms: -15 + 15 = 0
0 + -3w = -36 + 15
-3w = -36 + 15

Combine like terms: -36 + 15 = -21
-3w = -21

Divide each side by '-3'.
w = 7

Simplifying
w = 7

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