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Simplifying -5(w + -9) = -3w + 35 Reorder the terms: -5(-9 + w) = -3w + 35 (-9 * -5 + w * -5) = -3w + 35 (45 + -5w) = -3w + 35 Reorder the terms: 45 + -5w = 35 + -3w Solving 45 + -5w = 35 + -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. 45 + -5w + 3w = 35 + -3w + 3w Combine like terms: -5w + 3w = -2w 45 + -2w = 35 + -3w + 3w Combine like terms: -3w + 3w = 0 45 + -2w = 35 + 0 45 + -2w = 35 Add '-45' to each side of the equation. 45 + -45 + -2w = 35 + -45 Combine like terms: 45 + -45 = 0 0 + -2w = 35 + -45 -2w = 35 + -45 Combine like terms: 35 + -45 = -10 -2w = -10 Divide each side by '-2'. w = 5 Simplifying w = 5
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