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Simplifying 4 + -1w = 3w + 1 Reorder the terms: 4 + -1w = 1 + 3w Solving 4 + -1w = 1 + 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. 4 + -1w + -3w = 1 + 3w + -3w Combine like terms: -1w + -3w = -4w 4 + -4w = 1 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + -4w = 1 + 0 4 + -4w = 1 Add '-4' to each side of the equation. 4 + -4 + -4w = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -4w = 1 + -4 -4w = 1 + -4 Combine like terms: 1 + -4 = -3 -4w = -3 Divide each side by '-4'. w = 0.75 Simplifying w = 0.75
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