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Simplifying -1(2w + -3) = 21 + -5w + 3 Reorder the terms: -1(-3 + 2w) = 21 + -5w + 3 (-3 * -1 + 2w * -1) = 21 + -5w + 3 (3 + -2w) = 21 + -5w + 3 Reorder the terms: 3 + -2w = 21 + 3 + -5w Combine like terms: 21 + 3 = 24 3 + -2w = 24 + -5w Solving 3 + -2w = 24 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 3 + -2w + 5w = 24 + -5w + 5w Combine like terms: -2w + 5w = 3w 3 + 3w = 24 + -5w + 5w Combine like terms: -5w + 5w = 0 3 + 3w = 24 + 0 3 + 3w = 24 Add '-3' to each side of the equation. 3 + -3 + 3w = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3w = 24 + -3 3w = 24 + -3 Combine like terms: 24 + -3 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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