2(w-8)=9w-23

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Solution for 2(w-8)=9w-23 equation:


Simplifying
2(w + -8) = 9w + -23

Reorder the terms:
2(-8 + w) = 9w + -23
(-8 * 2 + w * 2) = 9w + -23
(-16 + 2w) = 9w + -23

Reorder the terms:
-16 + 2w = -23 + 9w

Solving
-16 + 2w = -23 + 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.
-16 + 2w + -9w = -23 + 9w + -9w

Combine like terms: 2w + -9w = -7w
-16 + -7w = -23 + 9w + -9w

Combine like terms: 9w + -9w = 0
-16 + -7w = -23 + 0
-16 + -7w = -23

Add '16' to each side of the equation.
-16 + 16 + -7w = -23 + 16

Combine like terms: -16 + 16 = 0
0 + -7w = -23 + 16
-7w = -23 + 16

Combine like terms: -23 + 16 = -7
-7w = -7

Divide each side by '-7'.
w = 1

Simplifying
w = 1

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