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Simplifying 6w + 2 = w + 8 Reorder the terms: 2 + 6w = w + 8 Reorder the terms: 2 + 6w = 8 + w Solving 2 + 6w = 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. 2 + 6w + -1w = 8 + w + -1w Combine like terms: 6w + -1w = 5w 2 + 5w = 8 + w + -1w Combine like terms: w + -1w = 0 2 + 5w = 8 + 0 2 + 5w = 8 Add '-2' to each side of the equation. 2 + -2 + 5w = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 5w = 8 + -2 5w = 8 + -2 Combine like terms: 8 + -2 = 6 5w = 6 Divide each side by '5'. w = 1.2 Simplifying w = 1.2
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