7(4w-5)-9(3w+4)=0

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Solution for 7(4w-5)-9(3w+4)=0 equation:


Simplifying
7(4w + -5) + -9(3w + 4) = 0

Reorder the terms:
7(-5 + 4w) + -9(3w + 4) = 0
(-5 * 7 + 4w * 7) + -9(3w + 4) = 0
(-35 + 28w) + -9(3w + 4) = 0

Reorder the terms:
-35 + 28w + -9(4 + 3w) = 0
-35 + 28w + (4 * -9 + 3w * -9) = 0
-35 + 28w + (-36 + -27w) = 0

Reorder the terms:
-35 + -36 + 28w + -27w = 0

Combine like terms: -35 + -36 = -71
-71 + 28w + -27w = 0

Combine like terms: 28w + -27w = 1w
-71 + 1w = 0

Solving
-71 + 1w = 0

Solving for variable 'w'.

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

Add '71' to each side of the equation.
-71 + 71 + 1w = 0 + 71

Combine like terms: -71 + 71 = 0
0 + 1w = 0 + 71
1w = 0 + 71

Combine like terms: 0 + 71 = 71
1w = 71

Divide each side by '1'.
w = 71

Simplifying
w = 71

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