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Simplifying 20 = 30 + -2(-4 + -5w) 20 = 30 + (-4 * -2 + -5w * -2) 20 = 30 + (8 + 10w) Combine like terms: 30 + 8 = 38 20 = 38 + 10w Solving 20 = 38 + 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 = 38 + 10w + -10w Combine like terms: 10w + -10w = 0 20 + -10w = 38 + 0 20 + -10w = 38 Add '-20' to each side of the equation. 20 + -20 + -10w = 38 + -20 Combine like terms: 20 + -20 = 0 0 + -10w = 38 + -20 -10w = 38 + -20 Combine like terms: 38 + -20 = 18 -10w = 18 Divide each side by '-10'. w = -1.8 Simplifying w = -1.8
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