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Simplifying 1.5(10w + 20) = 3 + 2w Reorder the terms: 1.5(20 + 10w) = 3 + 2w (20 * 1.5 + 10w * 1.5) = 3 + 2w (30 + 15w) = 3 + 2w Solving 30 + 15w = 3 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 30 + 15w + -2w = 3 + 2w + -2w Combine like terms: 15w + -2w = 13w 30 + 13w = 3 + 2w + -2w Combine like terms: 2w + -2w = 0 30 + 13w = 3 + 0 30 + 13w = 3 Add '-30' to each side of the equation. 30 + -30 + 13w = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 13w = 3 + -30 13w = 3 + -30 Combine like terms: 3 + -30 = -27 13w = -27 Divide each side by '13'. w = -2.076923077 Simplifying w = -2.076923077
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