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Simplifying 5w + 4 = 3w + 8 Reorder the terms: 4 + 5w = 3w + 8 Reorder the terms: 4 + 5w = 8 + 3w Solving 4 + 5w = 8 + 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 + 5w + -3w = 8 + 3w + -3w Combine like terms: 5w + -3w = 2w 4 + 2w = 8 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + 2w = 8 + 0 4 + 2w = 8 Add '-4' to each side of the equation. 4 + -4 + 2w = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = 8 + -4 2w = 8 + -4 Combine like terms: 8 + -4 = 4 2w = 4 Divide each side by '2'. w = 2 Simplifying w = 2
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