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Simplifying -9w + 36 = 9(w + 6) Reorder the terms: 36 + -9w = 9(w + 6) Reorder the terms: 36 + -9w = 9(6 + w) 36 + -9w = (6 * 9 + w * 9) 36 + -9w = (54 + 9w) Solving 36 + -9w = 54 + 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. 36 + -9w + -9w = 54 + 9w + -9w Combine like terms: -9w + -9w = -18w 36 + -18w = 54 + 9w + -9w Combine like terms: 9w + -9w = 0 36 + -18w = 54 + 0 36 + -18w = 54 Add '-36' to each side of the equation. 36 + -36 + -18w = 54 + -36 Combine like terms: 36 + -36 = 0 0 + -18w = 54 + -36 -18w = 54 + -36 Combine like terms: 54 + -36 = 18 -18w = 18 Divide each side by '-18'. w = -1 Simplifying w = -1
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