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Simplifying 1.5(22 + -1w) + 13 = 2w + -69.5 (22 * 1.5 + -1w * 1.5) + 13 = 2w + -69.5 (33 + -1.5w) + 13 = 2w + -69.5 Reorder the terms: 33 + 13 + -1.5w = 2w + -69.5 Combine like terms: 33 + 13 = 46 46 + -1.5w = 2w + -69.5 Reorder the terms: 46 + -1.5w = -69.5 + 2w Solving 46 + -1.5w = -69.5 + 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. 46 + -1.5w + -2w = -69.5 + 2w + -2w Combine like terms: -1.5w + -2w = -3.5w 46 + -3.5w = -69.5 + 2w + -2w Combine like terms: 2w + -2w = 0 46 + -3.5w = -69.5 + 0 46 + -3.5w = -69.5 Add '-46' to each side of the equation. 46 + -46 + -3.5w = -69.5 + -46 Combine like terms: 46 + -46 = 0 0 + -3.5w = -69.5 + -46 -3.5w = -69.5 + -46 Combine like terms: -69.5 + -46 = -115.5 -3.5w = -115.5 Divide each side by '-3.5'. w = 33 Simplifying w = 33
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