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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 '-45' to each side of the equation. 45 + -45 + -10W = -30 + -45 + 10w Combine like terms: 45 + -45 = 0 0 + -10W = -30 + -45 + 10w -10W = -30 + -45 + 10w Combine like terms: -30 + -45 = -75 -10W = -75 + 10w Divide each side by '-10'. W = 7.5 + -1w Simplifying W = 7.5 + -1w
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