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Simplifying 3w + 1 = w + 7 Reorder the terms: 1 + 3w = w + 7 Reorder the terms: 1 + 3w = 7 + w Solving 1 + 3w = 7 + 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. 1 + 3w + -1w = 7 + w + -1w Combine like terms: 3w + -1w = 2w 1 + 2w = 7 + w + -1w Combine like terms: w + -1w = 0 1 + 2w = 7 + 0 1 + 2w = 7 Add '-1' to each side of the equation. 1 + -1 + 2w = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2w = 7 + -1 2w = 7 + -1 Combine like terms: 7 + -1 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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