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Simplifying 12w + 6 + 3w = 31 Reorder the terms: 6 + 12w + 3w = 31 Combine like terms: 12w + 3w = 15w 6 + 15w = 31 Solving 6 + 15w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 15w = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 15w = 31 + -6 15w = 31 + -6 Combine like terms: 31 + -6 = 25 15w = 25 Divide each side by '15'. w = 1.666666667 Simplifying w = 1.666666667
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