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