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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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