5w-32=-6(w+9)

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Solution for 5w-32=-6(w+9) equation:


Simplifying
5w + -32 = -6(w + 9)

Reorder the terms:
-32 + 5w = -6(w + 9)

Reorder the terms:
-32 + 5w = -6(9 + w)
-32 + 5w = (9 * -6 + w * -6)
-32 + 5w = (-54 + -6w)

Solving
-32 + 5w = -54 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
-32 + 5w + 6w = -54 + -6w + 6w

Combine like terms: 5w + 6w = 11w
-32 + 11w = -54 + -6w + 6w

Combine like terms: -6w + 6w = 0
-32 + 11w = -54 + 0
-32 + 11w = -54

Add '32' to each side of the equation.
-32 + 32 + 11w = -54 + 32

Combine like terms: -32 + 32 = 0
0 + 11w = -54 + 32
11w = -54 + 32

Combine like terms: -54 + 32 = -22
11w = -22

Divide each side by '11'.
w = -2

Simplifying
w = -2

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