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Simplifying 8 + -1w = -12 + -3w Solving 8 + -1w = -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. 8 + -1w + 3w = -12 + -3w + 3w Combine like terms: -1w + 3w = 2w 8 + 2w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 8 + 2w = -12 + 0 8 + 2w = -12 Add '-8' to each side of the equation. 8 + -8 + 2w = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = -12 + -8 2w = -12 + -8 Combine like terms: -12 + -8 = -20 2w = -20 Divide each side by '2'. w = -10 Simplifying w = -10
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