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Simplifying -2w + 42 = -5(w + -9) Reorder the terms: 42 + -2w = -5(w + -9) Reorder the terms: 42 + -2w = -5(-9 + w) 42 + -2w = (-9 * -5 + w * -5) 42 + -2w = (45 + -5w) Solving 42 + -2w = 45 + -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. 42 + -2w + 5w = 45 + -5w + 5w Combine like terms: -2w + 5w = 3w 42 + 3w = 45 + -5w + 5w Combine like terms: -5w + 5w = 0 42 + 3w = 45 + 0 42 + 3w = 45 Add '-42' to each side of the equation. 42 + -42 + 3w = 45 + -42 Combine like terms: 42 + -42 = 0 0 + 3w = 45 + -42 3w = 45 + -42 Combine like terms: 45 + -42 = 3 3w = 3 Divide each side by '3'. w = 1 Simplifying w = 1
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