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Simplifying 8w + 12 = 3(w + 9) Reorder the terms: 12 + 8w = 3(w + 9) Reorder the terms: 12 + 8w = 3(9 + w) 12 + 8w = (9 * 3 + w * 3) 12 + 8w = (27 + 3w) Solving 12 + 8w = 27 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 12 + 8w + -3w = 27 + 3w + -3w Combine like terms: 8w + -3w = 5w 12 + 5w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + 5w = 27 + 0 12 + 5w = 27 Add '-12' to each side of the equation. 12 + -12 + 5w = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = 27 + -12 5w = 27 + -12 Combine like terms: 27 + -12 = 15 5w = 15 Divide each side by '5'. w = 3 Simplifying w = 3
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