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