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Simplifying 2.49 + 1.24(w + -1) = 11.17 Reorder the terms: 2.49 + 1.24(-1 + w) = 11.17 2.49 + (-1 * 1.24 + w * 1.24) = 11.17 2.49 + (-1.24 + 1.24w) = 11.17 Combine like terms: 2.49 + -1.24 = 1.25 1.25 + 1.24w = 11.17 Solving 1.25 + 1.24w = 11.17 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + 1.24w = 11.17 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 1.24w = 11.17 + -1.25 1.24w = 11.17 + -1.25 Combine like terms: 11.17 + -1.25 = 9.92 1.24w = 9.92 Divide each side by '1.24'. w = 8 Simplifying w = 8
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