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Simplifying 4w + 8 = 5w + 3 Reorder the terms: 8 + 4w = 5w + 3 Reorder the terms: 8 + 4w = 3 + 5w Solving 8 + 4w = 3 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 8 + 4w + -5w = 3 + 5w + -5w Combine like terms: 4w + -5w = -1w 8 + -1w = 3 + 5w + -5w Combine like terms: 5w + -5w = 0 8 + -1w = 3 + 0 8 + -1w = 3 Add '-8' to each side of the equation. 8 + -8 + -1w = 3 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 3 + -8 -1w = 3 + -8 Combine like terms: 3 + -8 = -5 -1w = -5 Divide each side by '-1'. w = 5 Simplifying w = 5
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