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Simplifying 12 + 8 = -1w + -3w Combine like terms: 12 + 8 = 20 20 = -1w + -3w Combine like terms: -1w + -3w = -4w 20 = -4w Solving 20 = -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 20 + 4w = -4w + 4w Combine like terms: -4w + 4w = 0 20 + 4w = 0 Add '-20' to each side of the equation. 20 + -20 + 4w = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4w = 0 + -20 4w = 0 + -20 Combine like terms: 0 + -20 = -20 4w = -20 Divide each side by '4'. w = -5 Simplifying w = -5
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