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Simplifying -6w + 27 = 9(w + 8) Reorder the terms: 27 + -6w = 9(w + 8) Reorder the terms: 27 + -6w = 9(8 + w) 27 + -6w = (8 * 9 + w * 9) 27 + -6w = (72 + 9w) Solving 27 + -6w = 72 + 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 + -6w + -9w = 72 + 9w + -9w Combine like terms: -6w + -9w = -15w 27 + -15w = 72 + 9w + -9w Combine like terms: 9w + -9w = 0 27 + -15w = 72 + 0 27 + -15w = 72 Add '-27' to each side of the equation. 27 + -27 + -15w = 72 + -27 Combine like terms: 27 + -27 = 0 0 + -15w = 72 + -27 -15w = 72 + -27 Combine like terms: 72 + -27 = 45 -15w = 45 Divide each side by '-15'. w = -3 Simplifying w = -3
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