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Simplifying 12 + -1w = 8 + -3w Solving 12 + -1w = 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 + -1w + 3w = 8 + -3w + 3w Combine like terms: -1w + 3w = 2w 12 + 2w = 8 + -3w + 3w Combine like terms: -3w + 3w = 0 12 + 2w = 8 + 0 12 + 2w = 8 Add '-12' to each side of the equation. 12 + -12 + 2w = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 2w = 8 + -12 2w = 8 + -12 Combine like terms: 8 + -12 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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