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Simplifying 9(2 + w) + -1(4w) = 3w + -1(10) (2 * 9 + w * 9) + -1(4w) = 3w + -1(10) (18 + 9w) + -1(4w) = 3w + -1(10) Remove parenthesis around (4w) 18 + 9w + -1 * 4w = 3w + -1(10) Multiply -1 * 4 18 + 9w + -4w = 3w + -1(10) Combine like terms: 9w + -4w = 5w 18 + 5w = 3w + -1(10) Multiply -1 * 10 18 + 5w = 3w + -10 Reorder the terms: 18 + 5w = -10 + 3w Solving 18 + 5w = -10 + 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. 18 + 5w + -3w = -10 + 3w + -3w Combine like terms: 5w + -3w = 2w 18 + 2w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 18 + 2w = -10 + 0 18 + 2w = -10 Add '-18' to each side of the equation. 18 + -18 + 2w = -10 + -18 Combine like terms: 18 + -18 = 0 0 + 2w = -10 + -18 2w = -10 + -18 Combine like terms: -10 + -18 = -28 2w = -28 Divide each side by '2'. w = -14 Simplifying w = -14
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