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Simplifying -2(w + 9) + -1(5w + -9) = -8w Reorder the terms: -2(9 + w) + -1(5w + -9) = -8w (9 * -2 + w * -2) + -1(5w + -9) = -8w (-18 + -2w) + -1(5w + -9) = -8w Reorder the terms: -18 + -2w + -1(-9 + 5w) = -8w -18 + -2w + (-9 * -1 + 5w * -1) = -8w -18 + -2w + (9 + -5w) = -8w Reorder the terms: -18 + 9 + -2w + -5w = -8w Combine like terms: -18 + 9 = -9 -9 + -2w + -5w = -8w Combine like terms: -2w + -5w = -7w -9 + -7w = -8w Solving -9 + -7w = -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -9 + -7w + 8w = -8w + 8w Combine like terms: -7w + 8w = 1w -9 + 1w = -8w + 8w Combine like terms: -8w + 8w = 0 -9 + 1w = 0 Add '9' to each side of the equation. -9 + 9 + 1w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1w = 0 + 9 1w = 0 + 9 Combine like terms: 0 + 9 = 9 1w = 9 Divide each side by '1'. w = 9 Simplifying w = 9
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