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Simplifying -2(-8w + 9) + -8w = 2(w + -9) + -9 Reorder the terms: -2(9 + -8w) + -8w = 2(w + -9) + -9 (9 * -2 + -8w * -2) + -8w = 2(w + -9) + -9 (-18 + 16w) + -8w = 2(w + -9) + -9 Combine like terms: 16w + -8w = 8w -18 + 8w = 2(w + -9) + -9 Reorder the terms: -18 + 8w = 2(-9 + w) + -9 -18 + 8w = (-9 * 2 + w * 2) + -9 -18 + 8w = (-18 + 2w) + -9 Reorder the terms: -18 + 8w = -18 + -9 + 2w Combine like terms: -18 + -9 = -27 -18 + 8w = -27 + 2w Solving -18 + 8w = -27 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -18 + 8w + -2w = -27 + 2w + -2w Combine like terms: 8w + -2w = 6w -18 + 6w = -27 + 2w + -2w Combine like terms: 2w + -2w = 0 -18 + 6w = -27 + 0 -18 + 6w = -27 Add '18' to each side of the equation. -18 + 18 + 6w = -27 + 18 Combine like terms: -18 + 18 = 0 0 + 6w = -27 + 18 6w = -27 + 18 Combine like terms: -27 + 18 = -9 6w = -9 Divide each side by '6'. w = -1.5 Simplifying w = -1.5
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