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Simplifying -5(w + 3) = -7w + -35 Reorder the terms: -5(3 + w) = -7w + -35 (3 * -5 + w * -5) = -7w + -35 (-15 + -5w) = -7w + -35 Reorder the terms: -15 + -5w = -35 + -7w Solving -15 + -5w = -35 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -15 + -5w + 7w = -35 + -7w + 7w Combine like terms: -5w + 7w = 2w -15 + 2w = -35 + -7w + 7w Combine like terms: -7w + 7w = 0 -15 + 2w = -35 + 0 -15 + 2w = -35 Add '15' to each side of the equation. -15 + 15 + 2w = -35 + 15 Combine like terms: -15 + 15 = 0 0 + 2w = -35 + 15 2w = -35 + 15 Combine like terms: -35 + 15 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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