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Simplifying -2(w + -9) + -1(-9w + -9) = 6w Reorder the terms: -2(-9 + w) + -1(-9w + -9) = 6w (-9 * -2 + w * -2) + -1(-9w + -9) = 6w (18 + -2w) + -1(-9w + -9) = 6w Reorder the terms: 18 + -2w + -1(-9 + -9w) = 6w 18 + -2w + (-9 * -1 + -9w * -1) = 6w 18 + -2w + (9 + 9w) = 6w Reorder the terms: 18 + 9 + -2w + 9w = 6w Combine like terms: 18 + 9 = 27 27 + -2w + 9w = 6w Combine like terms: -2w + 9w = 7w 27 + 7w = 6w Solving 27 + 7w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 27 + 7w + -6w = 6w + -6w Combine like terms: 7w + -6w = 1w 27 + 1w = 6w + -6w Combine like terms: 6w + -6w = 0 27 + 1w = 0 Add '-27' to each side of the equation. 27 + -27 + 1w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 1w = 0 + -27 1w = 0 + -27 Combine like terms: 0 + -27 = -27 1w = -27 Divide each side by '1'. w = -27 Simplifying w = -27
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