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Simplifying 12w + 3(w + 6) = 5w + 8 Reorder the terms: 12w + 3(6 + w) = 5w + 8 12w + (6 * 3 + w * 3) = 5w + 8 12w + (18 + 3w) = 5w + 8 Reorder the terms: 18 + 12w + 3w = 5w + 8 Combine like terms: 12w + 3w = 15w 18 + 15w = 5w + 8 Reorder the terms: 18 + 15w = 8 + 5w Solving 18 + 15w = 8 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 18 + 15w + -5w = 8 + 5w + -5w Combine like terms: 15w + -5w = 10w 18 + 10w = 8 + 5w + -5w Combine like terms: 5w + -5w = 0 18 + 10w = 8 + 0 18 + 10w = 8 Add '-18' to each side of the equation. 18 + -18 + 10w = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 10w = 8 + -18 10w = 8 + -18 Combine like terms: 8 + -18 = -10 10w = -10 Divide each side by '10'. w = -1 Simplifying w = -1
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