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Simplifying 20w + 20 = 8(10w + -20) Reorder the terms: 20 + 20w = 8(10w + -20) Reorder the terms: 20 + 20w = 8(-20 + 10w) 20 + 20w = (-20 * 8 + 10w * 8) 20 + 20w = (-160 + 80w) Solving 20 + 20w = -160 + 80w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-80w' to each side of the equation. 20 + 20w + -80w = -160 + 80w + -80w Combine like terms: 20w + -80w = -60w 20 + -60w = -160 + 80w + -80w Combine like terms: 80w + -80w = 0 20 + -60w = -160 + 0 20 + -60w = -160 Add '-20' to each side of the equation. 20 + -20 + -60w = -160 + -20 Combine like terms: 20 + -20 = 0 0 + -60w = -160 + -20 -60w = -160 + -20 Combine like terms: -160 + -20 = -180 -60w = -180 Divide each side by '-60'. w = 3 Simplifying w = 3
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