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Simplifying 8(w + 2) + -1(-2w + -6) = 9w Reorder the terms: 8(2 + w) + -1(-2w + -6) = 9w (2 * 8 + w * 8) + -1(-2w + -6) = 9w (16 + 8w) + -1(-2w + -6) = 9w Reorder the terms: 16 + 8w + -1(-6 + -2w) = 9w 16 + 8w + (-6 * -1 + -2w * -1) = 9w 16 + 8w + (6 + 2w) = 9w Reorder the terms: 16 + 6 + 8w + 2w = 9w Combine like terms: 16 + 6 = 22 22 + 8w + 2w = 9w Combine like terms: 8w + 2w = 10w 22 + 10w = 9w Solving 22 + 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. 22 + 10w + -9w = 9w + -9w Combine like terms: 10w + -9w = 1w 22 + 1w = 9w + -9w Combine like terms: 9w + -9w = 0 22 + 1w = 0 Add '-22' to each side of the equation. 22 + -22 + 1w = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 1w = 0 + -22 1w = 0 + -22 Combine like terms: 0 + -22 = -22 1w = -22 Divide each side by '1'. w = -22 Simplifying w = -22
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