2(w-4)=9w-43

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Solution for 2(w-4)=9w-43 equation: 


Simplifying
2(w + -4) = 9w + -43

Reorder the terms:
2(-4 + w) = 9w + -43
(-4 * 2 + w * 2) = 9w + -43
(-8 + 2w) = 9w + -43

Reorder the terms:
-8 + 2w = -43 + 9w

Solving
-8 + 2w = -43 + 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.
-8 + 2w + -9w = -43 + 9w + -9w

Combine like terms: 2w + -9w = -7w
-8 + -7w = -43 + 9w + -9w

Combine like terms: 9w + -9w = 0
-8 + -7w = -43 + 0
-8 + -7w = -43

Add '8' to each side of the equation.
-8 + 8 + -7w = -43 + 8

Combine like terms: -8 + 8 = 0
0 + -7w = -43 + 8
-7w = -43 + 8

Combine like terms: -43 + 8 = -35
-7w = -35

Divide each side by '-7'.
w = 5

Simplifying
w = 5

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