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