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Simplifying 3w + 4 = w + 8 Reorder the terms: 4 + 3w = w + 8 Reorder the terms: 4 + 3w = 8 + w Solving 4 + 3w = 8 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 4 + 3w + -1w = 8 + w + -1w Combine like terms: 3w + -1w = 2w 4 + 2w = 8 + w + -1w Combine like terms: w + -1w = 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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