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Simplifying 6w + -2(9 + -1w) = 22 6w + (9 * -2 + -1w * -2) = 22 6w + (-18 + 2w) = 22 Reorder the terms: -18 + 6w + 2w = 22 Combine like terms: 6w + 2w = 8w -18 + 8w = 22 Solving -18 + 8w = 22 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8w = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 8w = 22 + 18 8w = 22 + 18 Combine like terms: 22 + 18 = 40 8w = 40 Divide each side by '8'. w = 5 Simplifying w = 5
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