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Simplifying 3w + 1 = 2w + 8 Reorder the terms: 1 + 3w = 2w + 8 Reorder the terms: 1 + 3w = 8 + 2w Solving 1 + 3w = 8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 1 + 3w + -2w = 8 + 2w + -2w Combine like terms: 3w + -2w = 1w 1 + 1w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 1 + 1w = 8 + 0 1 + 1w = 8 Add '-1' to each side of the equation. 1 + -1 + 1w = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = 8 + -1 1w = 8 + -1 Combine like terms: 8 + -1 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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