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Simplifying 6w + 2 = 5w + -4 + 9 Reorder the terms: 2 + 6w = 5w + -4 + 9 Reorder the terms: 2 + 6w = -4 + 9 + 5w Combine like terms: -4 + 9 = 5 2 + 6w = 5 + 5w Solving 2 + 6w = 5 + 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. 2 + 6w + -5w = 5 + 5w + -5w Combine like terms: 6w + -5w = 1w 2 + 1w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 2 + 1w = 5 + 0 2 + 1w = 5 Add '-2' to each side of the equation. 2 + -2 + 1w = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 1w = 5 + -2 1w = 5 + -2 Combine like terms: 5 + -2 = 3 1w = 3 Divide each side by '1'. w = 3 Simplifying w = 3
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