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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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