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Simplifying -8(w + -2) + -1(9w + -2) = -18w Reorder the terms: -8(-2 + w) + -1(9w + -2) = -18w (-2 * -8 + w * -8) + -1(9w + -2) = -18w (16 + -8w) + -1(9w + -2) = -18w Reorder the terms: 16 + -8w + -1(-2 + 9w) = -18w 16 + -8w + (-2 * -1 + 9w * -1) = -18w 16 + -8w + (2 + -9w) = -18w Reorder the terms: 16 + 2 + -8w + -9w = -18w Combine like terms: 16 + 2 = 18 18 + -8w + -9w = -18w Combine like terms: -8w + -9w = -17w 18 + -17w = -18w Solving 18 + -17w = -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. 18 + -17w + 18w = -18w + 18w Combine like terms: -17w + 18w = 1w 18 + 1w = -18w + 18w Combine like terms: -18w + 18w = 0 18 + 1w = 0 Add '-18' to each side of the equation. 18 + -18 + 1w = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 1w = 0 + -18 1w = 0 + -18 Combine like terms: 0 + -18 = -18 1w = -18 Divide each side by '1'. w = -18 Simplifying w = -18
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