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Simplifying 6w + -2(9 + -1w) = w 6w + (9 * -2 + -1w * -2) = w 6w + (-18 + 2w) = w Reorder the terms: -18 + 6w + 2w = w Combine like terms: 6w + 2w = 8w -18 + 8w = w Solving -18 + 8w = w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -18 + 8w + -1w = w + -1w Combine like terms: 8w + -1w = 7w -18 + 7w = w + -1w Combine like terms: w + -1w = 0 -18 + 7w = 0 Add '18' to each side of the equation. -18 + 18 + 7w = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 7w = 0 + 18 7w = 0 + 18 Combine like terms: 0 + 18 = 18 7w = 18 Divide each side by '7'. w = 2.571428571 Simplifying w = 2.571428571
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