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Simplifying 1.5(w + 7) = 11.25 Reorder the terms: 1.5(7 + w) = 11.25 (7 * 1.5 + w * 1.5) = 11.25 (10.5 + 1.5w) = 11.25 Solving 10.5 + 1.5w = 11.25 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10.5' to each side of the equation. 10.5 + -10.5 + 1.5w = 11.25 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 1.5w = 11.25 + -10.5 1.5w = 11.25 + -10.5 Combine like terms: 11.25 + -10.5 = 0.75 1.5w = 0.75 Divide each side by '1.5'. w = 0.5 Simplifying w = 0.5
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