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Simplifying 12 + -2w = 3w + -8 Reorder the terms: 12 + -2w = -8 + 3w Solving 12 + -2w = -8 + 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 + -2w + -3w = -8 + 3w + -3w Combine like terms: -2w + -3w = -5w 12 + -5w = -8 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -5w = -8 + 0 12 + -5w = -8 Add '-12' to each side of the equation. 12 + -12 + -5w = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -5w = -8 + -12 -5w = -8 + -12 Combine like terms: -8 + -12 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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