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Simplifying 27 = 6w + 3(w + 5) Reorder the terms: 27 = 6w + 3(5 + w) 27 = 6w + (5 * 3 + w * 3) 27 = 6w + (15 + 3w) Reorder the terms: 27 = 15 + 6w + 3w Combine like terms: 6w + 3w = 9w 27 = 15 + 9w Solving 27 = 15 + 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 = 15 + 9w + -9w Combine like terms: 9w + -9w = 0 27 + -9w = 15 + 0 27 + -9w = 15 Add '-27' to each side of the equation. 27 + -27 + -9w = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -9w = 15 + -27 -9w = 15 + -27 Combine like terms: 15 + -27 = -12 -9w = -12 Divide each side by '-9'. w = 1.333333333 Simplifying w = 1.333333333
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