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Simplifying -3(w + -3) + -1(7w + -9) = -11w Reorder the terms: -3(-3 + w) + -1(7w + -9) = -11w (-3 * -3 + w * -3) + -1(7w + -9) = -11w (9 + -3w) + -1(7w + -9) = -11w Reorder the terms: 9 + -3w + -1(-9 + 7w) = -11w 9 + -3w + (-9 * -1 + 7w * -1) = -11w 9 + -3w + (9 + -7w) = -11w Reorder the terms: 9 + 9 + -3w + -7w = -11w Combine like terms: 9 + 9 = 18 18 + -3w + -7w = -11w Combine like terms: -3w + -7w = -10w 18 + -10w = -11w Solving 18 + -10w = -11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11w' to each side of the equation. 18 + -10w + 11w = -11w + 11w Combine like terms: -10w + 11w = 1w 18 + 1w = -11w + 11w Combine like terms: -11w + 11w = 0 18 + 1w = 0 Add '-18' to each side of the equation. 18 + -18 + 1w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = 0 + -18 1w = 0 + -18 Combine like terms: 0 + -18 = -18 1w = -18 Divide each side by '1'. w = -18 Simplifying w = -18
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