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Simplifying 8(w + 9) + -1(-2w + -3) = 9w Reorder the terms: 8(9 + w) + -1(-2w + -3) = 9w (9 * 8 + w * 8) + -1(-2w + -3) = 9w (72 + 8w) + -1(-2w + -3) = 9w Reorder the terms: 72 + 8w + -1(-3 + -2w) = 9w 72 + 8w + (-3 * -1 + -2w * -1) = 9w 72 + 8w + (3 + 2w) = 9w Reorder the terms: 72 + 3 + 8w + 2w = 9w Combine like terms: 72 + 3 = 75 75 + 8w + 2w = 9w Combine like terms: 8w + 2w = 10w 75 + 10w = 9w Solving 75 + 10w = 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 75 + 10w + -9w = 9w + -9w Combine like terms: 10w + -9w = 1w 75 + 1w = 9w + -9w Combine like terms: 9w + -9w = 0 75 + 1w = 0 Add '-75' to each side of the equation. 75 + -75 + 1w = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 1w = 0 + -75 1w = 0 + -75 Combine like terms: 0 + -75 = -75 1w = -75 Divide each side by '1'. w = -75 Simplifying w = -75
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