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Simplifying -5w + 12 = 9(w + 6) Reorder the terms: 12 + -5w = 9(w + 6) Reorder the terms: 12 + -5w = 9(6 + w) 12 + -5w = (6 * 9 + w * 9) 12 + -5w = (54 + 9w) Solving 12 + -5w = 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. 12 + -5w + -9w = 54 + 9w + -9w Combine like terms: -5w + -9w = -14w 12 + -14w = 54 + 9w + -9w Combine like terms: 9w + -9w = 0 12 + -14w = 54 + 0 12 + -14w = 54 Add '-12' to each side of the equation. 12 + -12 + -14w = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -14w = 54 + -12 -14w = 54 + -12 Combine like terms: 54 + -12 = 42 -14w = 42 Divide each side by '-14'. w = -3 Simplifying w = -3
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