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Simplifying 3(w + 2) + 6(w + 2) = 12 Reorder the terms: 3(2 + w) + 6(w + 2) = 12 (2 * 3 + w * 3) + 6(w + 2) = 12 (6 + 3w) + 6(w + 2) = 12 Reorder the terms: 6 + 3w + 6(2 + w) = 12 6 + 3w + (2 * 6 + w * 6) = 12 6 + 3w + (12 + 6w) = 12 Reorder the terms: 6 + 12 + 3w + 6w = 12 Combine like terms: 6 + 12 = 18 18 + 3w + 6w = 12 Combine like terms: 3w + 6w = 9w 18 + 9w = 12 Solving 18 + 9w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9w = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 9w = 12 + -18 9w = 12 + -18 Combine like terms: 12 + -18 = -6 9w = -6 Divide each side by '9'. w = -0.6666666667 Simplifying w = -0.6666666667
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