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Simplifying 3w + 5 = 4w + 3 Reorder the terms: 5 + 3w = 4w + 3 Reorder the terms: 5 + 3w = 3 + 4w Solving 5 + 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. 5 + 3w + -4w = 3 + 4w + -4w Combine like terms: 3w + -4w = -1w 5 + -1w = 3 + 4w + -4w Combine like terms: 4w + -4w = 0 5 + -1w = 3 + 0 5 + -1w = 3 Add '-5' to each side of the equation. 5 + -5 + -1w = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -1w = 3 + -5 -1w = 3 + -5 Combine like terms: 3 + -5 = -2 -1w = -2 Divide each side by '-1'. w = 2 Simplifying w = 2
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