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Simplifying 8w + 6 + -2 = 4 + 3w + 2 Reorder the terms: 6 + -2 + 8w = 4 + 3w + 2 Combine like terms: 6 + -2 = 4 4 + 8w = 4 + 3w + 2 Reorder the terms: 4 + 8w = 4 + 2 + 3w Combine like terms: 4 + 2 = 6 4 + 8w = 6 + 3w Solving 4 + 8w = 6 + 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 + 8w + -3w = 6 + 3w + -3w Combine like terms: 8w + -3w = 5w 4 + 5w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 4 + 5w = 6 + 0 4 + 5w = 6 Add '-4' to each side of the equation. 4 + -4 + 5w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 6 + -4 5w = 6 + -4 Combine like terms: 6 + -4 = 2 5w = 2 Divide each side by '5'. w = 0.4 Simplifying w = 0.4
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