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Simplifying 12 + 5w = 3w + -12 Reorder the terms: 12 + 5w = -12 + 3w Solving 12 + 5w = -12 + 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 + 5w + -3w = -12 + 3w + -3w Combine like terms: 5w + -3w = 2w 12 + 2w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + 2w = -12 + 0 12 + 2w = -12 Add '-12' to each side of the equation. 12 + -12 + 2w = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = -12 + -12 2w = -12 + -12 Combine like terms: -12 + -12 = -24 2w = -24 Divide each side by '2'. w = -12 Simplifying w = -12
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