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Simplifying 3w + 12 = -1w + 20 Reorder the terms: 12 + 3w = -1w + 20 Reorder the terms: 12 + 3w = 20 + -1w Solving 12 + 3w = 20 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 12 + 3w + w = 20 + -1w + w Combine like terms: 3w + w = 4w 12 + 4w = 20 + -1w + w Combine like terms: -1w + w = 0 12 + 4w = 20 + 0 12 + 4w = 20 Add '-12' to each side of the equation. 12 + -12 + 4w = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = 20 + -12 4w = 20 + -12 Combine like terms: 20 + -12 = 8 4w = 8 Divide each side by '4'. w = 2 Simplifying w = 2
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