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Simplifying 27 = 3w + -3(6 + -2w) 27 = 3w + (6 * -3 + -2w * -3) 27 = 3w + (-18 + 6w) Reorder the terms: 27 = -18 + 3w + 6w Combine like terms: 3w + 6w = 9w 27 = -18 + 9w Solving 27 = -18 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 27 + -9w = -18 + 9w + -9w Combine like terms: 9w + -9w = 0 27 + -9w = -18 + 0 27 + -9w = -18 Add '-27' to each side of the equation. 27 + -27 + -9w = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -9w = -18 + -27 -9w = -18 + -27 Combine like terms: -18 + -27 = -45 -9w = -45 Divide each side by '-9'. w = 5 Simplifying w = 5
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