8(9-2w)=13+3(11-w)

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Solution for 8(9-2w)=13+3(11-w) equation:


Simplifying
8(9 + -2w) = 13 + 3(11 + -1w)
(9 * 8 + -2w * 8) = 13 + 3(11 + -1w)
(72 + -16w) = 13 + 3(11 + -1w)
72 + -16w = 13 + (11 * 3 + -1w * 3)
72 + -16w = 13 + (33 + -3w)

Combine like terms: 13 + 33 = 46
72 + -16w = 46 + -3w

Solving
72 + -16w = 46 + -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.
72 + -16w + 3w = 46 + -3w + 3w

Combine like terms: -16w + 3w = -13w
72 + -13w = 46 + -3w + 3w

Combine like terms: -3w + 3w = 0
72 + -13w = 46 + 0
72 + -13w = 46

Add '-72' to each side of the equation.
72 + -72 + -13w = 46 + -72

Combine like terms: 72 + -72 = 0
0 + -13w = 46 + -72
-13w = 46 + -72

Combine like terms: 46 + -72 = -26
-13w = -26

Divide each side by '-13'.
w = 2

Simplifying
w = 2

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