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Simplifying -2(w + 1) + -1(5w + -9) = -8w Reorder the terms: -2(1 + w) + -1(5w + -9) = -8w (1 * -2 + w * -2) + -1(5w + -9) = -8w (-2 + -2w) + -1(5w + -9) = -8w Reorder the terms: -2 + -2w + -1(-9 + 5w) = -8w -2 + -2w + (-9 * -1 + 5w * -1) = -8w -2 + -2w + (9 + -5w) = -8w Reorder the terms: -2 + 9 + -2w + -5w = -8w Combine like terms: -2 + 9 = 7 7 + -2w + -5w = -8w Combine like terms: -2w + -5w = -7w 7 + -7w = -8w Solving 7 + -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. 7 + -7w + 8w = -8w + 8w Combine like terms: -7w + 8w = 1w 7 + 1w = -8w + 8w Combine like terms: -8w + 8w = 0 7 + 1w = 0 Add '-7' to each side of the equation. 7 + -7 + 1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1w = 0 + -7 1w = 0 + -7 Combine like terms: 0 + -7 = -7 1w = -7 Divide each side by '1'. w = -7 Simplifying w = -7
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