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Simplifying 8w + 1 = 3w + 1 Reorder the terms: 1 + 8w = 3w + 1 Reorder the terms: 1 + 8w = 1 + 3w Add '-1' to each side of the equation. 1 + -1 + 8w = 1 + -1 + 3w Combine like terms: 1 + -1 = 0 0 + 8w = 1 + -1 + 3w 8w = 1 + -1 + 3w Combine like terms: 1 + -1 = 0 8w = 0 + 3w 8w = 3w Solving 8w = 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. 8w + -3w = 3w + -3w Combine like terms: 8w + -3w = 5w 5w = 3w + -3w Combine like terms: 3w + -3w = 0 5w = 0 Divide each side by '5'. w = 0 Simplifying w = 0
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