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Simplifying 3w + -3(6 + -2w) = 27 3w + (6 * -3 + -2w * -3) = 27 3w + (-18 + 6w) = 27 Reorder the terms: -18 + 3w + 6w = 27 Combine like terms: 3w + 6w = 9w -18 + 9w = 27 Solving -18 + 9w = 27 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 + 9w = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 9w = 27 + 18 9w = 27 + 18 Combine like terms: 27 + 18 = 45 9w = 45 Divide each side by '9'. w = 5 Simplifying w = 5
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