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Simplifying 6w + -5 = 5w + 2 Reorder the terms: -5 + 6w = 5w + 2 Reorder the terms: -5 + 6w = 2 + 5w Solving -5 + 6w = 2 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -5 + 6w + -5w = 2 + 5w + -5w Combine like terms: 6w + -5w = 1w -5 + 1w = 2 + 5w + -5w Combine like terms: 5w + -5w = 0 -5 + 1w = 2 + 0 -5 + 1w = 2 Add '5' to each side of the equation. -5 + 5 + 1w = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 1w = 2 + 5 1w = 2 + 5 Combine like terms: 2 + 5 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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