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Simplifying 9(w + 9) + 8(w + -2) = 116 Reorder the terms: 9(9 + w) + 8(w + -2) = 116 (9 * 9 + w * 9) + 8(w + -2) = 116 (81 + 9w) + 8(w + -2) = 116 Reorder the terms: 81 + 9w + 8(-2 + w) = 116 81 + 9w + (-2 * 8 + w * 8) = 116 81 + 9w + (-16 + 8w) = 116 Reorder the terms: 81 + -16 + 9w + 8w = 116 Combine like terms: 81 + -16 = 65 65 + 9w + 8w = 116 Combine like terms: 9w + 8w = 17w 65 + 17w = 116 Solving 65 + 17w = 116 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 17w = 116 + -65 Combine like terms: 65 + -65 = 0 0 + 17w = 116 + -65 17w = 116 + -65 Combine like terms: 116 + -65 = 51 17w = 51 Divide each side by '17'. w = 3 Simplifying w = 3
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