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Simplifying 9(w + 6) = -8w + 3 Reorder the terms: 9(6 + w) = -8w + 3 (6 * 9 + w * 9) = -8w + 3 (54 + 9w) = -8w + 3 Reorder the terms: 54 + 9w = 3 + -8w Solving 54 + 9w = 3 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 54 + 9w + 8w = 3 + -8w + 8w Combine like terms: 9w + 8w = 17w 54 + 17w = 3 + -8w + 8w Combine like terms: -8w + 8w = 0 54 + 17w = 3 + 0 54 + 17w = 3 Add '-54' to each side of the equation. 54 + -54 + 17w = 3 + -54 Combine like terms: 54 + -54 = 0 0 + 17w = 3 + -54 17w = 3 + -54 Combine like terms: 3 + -54 = -51 17w = -51 Divide each side by '17'. w = -3 Simplifying w = -3
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