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Simplifying 3w + 12 = 9(w + 6) Reorder the terms: 12 + 3w = 9(w + 6) Reorder the terms: 12 + 3w = 9(6 + w) 12 + 3w = (6 * 9 + w * 9) 12 + 3w = (54 + 9w) Solving 12 + 3w = 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 + 3w + -9w = 54 + 9w + -9w Combine like terms: 3w + -9w = -6w 12 + -6w = 54 + 9w + -9w Combine like terms: 9w + -9w = 0 12 + -6w = 54 + 0 12 + -6w = 54 Add '-12' to each side of the equation. 12 + -12 + -6w = 54 + -12 Combine like terms: 12 + -12 = 0 0 + -6w = 54 + -12 -6w = 54 + -12 Combine like terms: 54 + -12 = 42 -6w = 42 Divide each side by '-6'. w = -7 Simplifying w = -7
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