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Simplifying 9(w + 1) = 6w + 36 Reorder the terms: 9(1 + w) = 6w + 36 (1 * 9 + w * 9) = 6w + 36 (9 + 9w) = 6w + 36 Reorder the terms: 9 + 9w = 36 + 6w Solving 9 + 9w = 36 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 9 + 9w + -6w = 36 + 6w + -6w Combine like terms: 9w + -6w = 3w 9 + 3w = 36 + 6w + -6w Combine like terms: 6w + -6w = 0 9 + 3w = 36 + 0 9 + 3w = 36 Add '-9' to each side of the equation. 9 + -9 + 3w = 36 + -9 Combine like terms: 9 + -9 = 0 0 + 3w = 36 + -9 3w = 36 + -9 Combine like terms: 36 + -9 = 27 3w = 27 Divide each side by '3'. w = 9 Simplifying w = 9
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