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Simplifying 5(9 + -2w) = 10(w + 3) (9 * 5 + -2w * 5) = 10(w + 3) (45 + -10w) = 10(w + 3) Reorder the terms: 45 + -10w = 10(3 + w) 45 + -10w = (3 * 10 + w * 10) 45 + -10w = (30 + 10w) Solving 45 + -10w = 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. 45 + -10w + -10w = 30 + 10w + -10w Combine like terms: -10w + -10w = -20w 45 + -20w = 30 + 10w + -10w Combine like terms: 10w + -10w = 0 45 + -20w = 30 + 0 45 + -20w = 30 Add '-45' to each side of the equation. 45 + -45 + -20w = 30 + -45 Combine like terms: 45 + -45 = 0 0 + -20w = 30 + -45 -20w = 30 + -45 Combine like terms: 30 + -45 = -15 -20w = -15 Divide each side by '-20'. w = 0.75 Simplifying w = 0.75
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