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Simplifying 6w + 5 + -5w = 8 + -2 Reorder the terms: 5 + 6w + -5w = 8 + -2 Combine like terms: 6w + -5w = 1w 5 + 1w = 8 + -2 Combine like terms: 8 + -2 = 6 5 + 1w = 6 Solving 5 + 1w = 6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1w = 6 + -5 Combine like terms: 5 + -5 = 0 0 + 1w = 6 + -5 1w = 6 + -5 Combine like terms: 6 + -5 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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