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Simplifying 5(1.5 + -1w) = 71.25 (1.5 * 5 + -1w * 5) = 71.25 (7.5 + -5w) = 71.25 Solving 7.5 + -5w = 71.25 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + -5w = 71.25 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -5w = 71.25 + -7.5 -5w = 71.25 + -7.5 Combine like terms: 71.25 + -7.5 = 63.75 -5w = 63.75 Divide each side by '-5'. w = -12.75 Simplifying w = -12.75
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