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Simplifying 12w + 7 = 31 + -3w Reorder the terms: 7 + 12w = 31 + -3w Solving 7 + 12w = 31 + -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. 7 + 12w + 3w = 31 + -3w + 3w Combine like terms: 12w + 3w = 15w 7 + 15w = 31 + -3w + 3w Combine like terms: -3w + 3w = 0 7 + 15w = 31 + 0 7 + 15w = 31 Add '-7' to each side of the equation. 7 + -7 + 15w = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 15w = 31 + -7 15w = 31 + -7 Combine like terms: 31 + -7 = 24 15w = 24 Divide each side by '15'. w = 1.6 Simplifying w = 1.6
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