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Simplifying 9(11 + -1w) = 3(3w + -9) (11 * 9 + -1w * 9) = 3(3w + -9) (99 + -9w) = 3(3w + -9) Reorder the terms: 99 + -9w = 3(-9 + 3w) 99 + -9w = (-9 * 3 + 3w * 3) 99 + -9w = (-27 + 9w) Solving 99 + -9w = -27 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 99 + -9w + -9w = -27 + 9w + -9w Combine like terms: -9w + -9w = -18w 99 + -18w = -27 + 9w + -9w Combine like terms: 9w + -9w = 0 99 + -18w = -27 + 0 99 + -18w = -27 Add '-99' to each side of the equation. 99 + -99 + -18w = -27 + -99 Combine like terms: 99 + -99 = 0 0 + -18w = -27 + -99 -18w = -27 + -99 Combine like terms: -27 + -99 = -126 -18w = -126 Divide each side by '-18'. w = 7 Simplifying w = 7
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