5(-2w+9)=3(w-18)+4

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Solution for 5(-2w+9)=3(w-18)+4 equation:


Simplifying
5(-2w + 9) = 3(w + -18) + 4

Reorder the terms:
5(9 + -2w) = 3(w + -18) + 4
(9 * 5 + -2w * 5) = 3(w + -18) + 4
(45 + -10w) = 3(w + -18) + 4

Reorder the terms:
45 + -10w = 3(-18 + w) + 4
45 + -10w = (-18 * 3 + w * 3) + 4
45 + -10w = (-54 + 3w) + 4

Reorder the terms:
45 + -10w = -54 + 4 + 3w

Combine like terms: -54 + 4 = -50
45 + -10w = -50 + 3w

Solving
45 + -10w = -50 + 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.
45 + -10w + -3w = -50 + 3w + -3w

Combine like terms: -10w + -3w = -13w
45 + -13w = -50 + 3w + -3w

Combine like terms: 3w + -3w = 0
45 + -13w = -50 + 0
45 + -13w = -50

Add '-45' to each side of the equation.
45 + -45 + -13w = -50 + -45

Combine like terms: 45 + -45 = 0
0 + -13w = -50 + -45
-13w = -50 + -45

Combine like terms: -50 + -45 = -95
-13w = -95

Divide each side by '-13'.
w = 7.307692308

Simplifying
w = 7.307692308

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