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Simplifying 5(w + -6) = -5w + -20 Reorder the terms: 5(-6 + w) = -5w + -20 (-6 * 5 + w * 5) = -5w + -20 (-30 + 5w) = -5w + -20 Reorder the terms: -30 + 5w = -20 + -5w Solving -30 + 5w = -20 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -30 + 5w + 5w = -20 + -5w + 5w Combine like terms: 5w + 5w = 10w -30 + 10w = -20 + -5w + 5w Combine like terms: -5w + 5w = 0 -30 + 10w = -20 + 0 -30 + 10w = -20 Add '30' to each side of the equation. -30 + 30 + 10w = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 10w = -20 + 30 10w = -20 + 30 Combine like terms: -20 + 30 = 10 10w = 10 Divide each side by '10'. w = 1 Simplifying w = 1
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