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Simplifying (15w) + -1(20) = (-10) + -1(5w) Multiply -1 * 20 (15w) + -20 = (-10) + -1(5w) Reorder the terms: -20 + (15w) = (-10) + -1(5w) -20 + (15w) = -10 + -1(5w) Remove parenthesis around (5w) -20 + (15w) = -10 + -1 * 5w Multiply -1 * 5 -20 + (15w) = -10 + -5w Solving -20 + (15w) = -10 + -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. -20 + (15w) + 5w = -10 + -5w + 5w Combine like terms: (15w) + 5w = 20w -20 + 20w = -10 + -5w + 5w Combine like terms: -5w + 5w = 0 -20 + 20w = -10 + 0 -20 + 20w = -10 Add '20' to each side of the equation. -20 + 20 + 20w = -10 + 20 Combine like terms: -20 + 20 = 0 0 + 20w = -10 + 20 20w = -10 + 20 Combine like terms: -10 + 20 = 10 20w = 10 Divide each side by '20'. w = 0.5 Simplifying w = 0.5
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