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Simplifying 20 = 5(w + -6) + 5w Reorder the terms: 20 = 5(-6 + w) + 5w 20 = (-6 * 5 + w * 5) + 5w 20 = (-30 + 5w) + 5w Combine like terms: 5w + 5w = 10w 20 = -30 + 10w Solving 20 = -30 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 20 + -10w = -30 + 10w + -10w Combine like terms: 10w + -10w = 0 20 + -10w = -30 + 0 20 + -10w = -30 Add '-20' to each side of the equation. 20 + -20 + -10w = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -10w = -30 + -20 -10w = -30 + -20 Combine like terms: -30 + -20 = -50 -10w = -50 Divide each side by '-10'. w = 5 Simplifying w = 5
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