2w+31=9(w-2)

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Solution for 2w+31=9(w-2) equation:


Simplifying
2w + 31 = 9(w + -2)

Reorder the terms:
31 + 2w = 9(w + -2)

Reorder the terms:
31 + 2w = 9(-2 + w)
31 + 2w = (-2 * 9 + w * 9)
31 + 2w = (-18 + 9w)

Solving
31 + 2w = -18 + 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.
31 + 2w + -9w = -18 + 9w + -9w

Combine like terms: 2w + -9w = -7w
31 + -7w = -18 + 9w + -9w

Combine like terms: 9w + -9w = 0
31 + -7w = -18 + 0
31 + -7w = -18

Add '-31' to each side of the equation.
31 + -31 + -7w = -18 + -31

Combine like terms: 31 + -31 = 0
0 + -7w = -18 + -31
-7w = -18 + -31

Combine like terms: -18 + -31 = -49
-7w = -49

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

Simplifying
w = 7

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