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Simplifying -1w + 5 = -3w + -12 Reorder the terms: 5 + -1w = -3w + -12 Reorder the terms: 5 + -1w = -12 + -3w Solving 5 + -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. 5 + -1w + 3w = -12 + -3w + 3w Combine like terms: -1w + 3w = 2w 5 + 2w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 5 + 2w = -12 + 0 5 + 2w = -12 Add '-5' to each side of the equation. 5 + -5 + 2w = -12 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = -12 + -5 2w = -12 + -5 Combine like terms: -12 + -5 = -17 2w = -17 Divide each side by '2'. w = -8.5 Simplifying w = -8.5
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