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Simplifying -35 = -2w + 5(w + -4) Reorder the terms: -35 = -2w + 5(-4 + w) -35 = -2w + (-4 * 5 + w * 5) -35 = -2w + (-20 + 5w) Reorder the terms: -35 = -20 + -2w + 5w Combine like terms: -2w + 5w = 3w -35 = -20 + 3w Solving -35 = -20 + 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. -35 + -3w = -20 + 3w + -3w Combine like terms: 3w + -3w = 0 -35 + -3w = -20 + 0 -35 + -3w = -20 Add '35' to each side of the equation. -35 + 35 + -3w = -20 + 35 Combine like terms: -35 + 35 = 0 0 + -3w = -20 + 35 -3w = -20 + 35 Combine like terms: -20 + 35 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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