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Simplifying 28 + -2(w + 1) = 9w + -2(9 + 3w) Reorder the terms: 28 + -2(1 + w) = 9w + -2(9 + 3w) 28 + (1 * -2 + w * -2) = 9w + -2(9 + 3w) 28 + (-2 + -2w) = 9w + -2(9 + 3w) Combine like terms: 28 + -2 = 26 26 + -2w = 9w + -2(9 + 3w) 26 + -2w = 9w + (9 * -2 + 3w * -2) 26 + -2w = 9w + (-18 + -6w) Reorder the terms: 26 + -2w = -18 + 9w + -6w Combine like terms: 9w + -6w = 3w 26 + -2w = -18 + 3w Solving 26 + -2w = -18 + 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. 26 + -2w + -3w = -18 + 3w + -3w Combine like terms: -2w + -3w = -5w 26 + -5w = -18 + 3w + -3w Combine like terms: 3w + -3w = 0 26 + -5w = -18 + 0 26 + -5w = -18 Add '-26' to each side of the equation. 26 + -26 + -5w = -18 + -26 Combine like terms: 26 + -26 = 0 0 + -5w = -18 + -26 -5w = -18 + -26 Combine like terms: -18 + -26 = -44 -5w = -44 Divide each side by '-5'. w = 8.8 Simplifying w = 8.8
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