4(w+9)=-3w+43

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Solution for 4(w+9)=-3w+43 equation: 


Simplifying
4(w + 9) = -3w + 43

Reorder the terms:
4(9 + w) = -3w + 43
(9 * 4 + w * 4) = -3w + 43
(36 + 4w) = -3w + 43

Reorder the terms:
36 + 4w = 43 + -3w

Solving
36 + 4w = 43 + -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.
36 + 4w + 3w = 43 + -3w + 3w

Combine like terms: 4w + 3w = 7w
36 + 7w = 43 + -3w + 3w

Combine like terms: -3w + 3w = 0
36 + 7w = 43 + 0
36 + 7w = 43

Add '-36' to each side of the equation.
36 + -36 + 7w = 43 + -36

Combine like terms: 36 + -36 = 0
0 + 7w = 43 + -36
7w = 43 + -36

Combine like terms: 43 + -36 = 7
7w = 7

Divide each side by '7'.
w = 1

Simplifying
w = 1

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