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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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