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