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Simplifying 9(w + 9) = 3w + 27 Reorder the terms: 9(9 + w) = 3w + 27 (9 * 9 + w * 9) = 3w + 27 (81 + 9w) = 3w + 27 Reorder the terms: 81 + 9w = 27 + 3w Solving 81 + 9w = 27 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 81 + 9w + -3w = 27 + 3w + -3w Combine like terms: 9w + -3w = 6w 81 + 6w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 81 + 6w = 27 + 0 81 + 6w = 27 Add '-81' to each side of the equation. 81 + -81 + 6w = 27 + -81 Combine like terms: 81 + -81 = 0 0 + 6w = 27 + -81 6w = 27 + -81 Combine like terms: 27 + -81 = -54 6w = -54 Divide each side by '6'. w = -9 Simplifying w = -9
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