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Simplifying 6w + -3 + 4 = w + 5 + 6 Reorder the terms: -3 + 4 + 6w = w + 5 + 6 Combine like terms: -3 + 4 = 1 1 + 6w = w + 5 + 6 Reorder the terms: 1 + 6w = 5 + 6 + w Combine like terms: 5 + 6 = 11 1 + 6w = 11 + w Solving 1 + 6w = 11 + 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. 1 + 6w + -1w = 11 + w + -1w Combine like terms: 6w + -1w = 5w 1 + 5w = 11 + w + -1w Combine like terms: w + -1w = 0 1 + 5w = 11 + 0 1 + 5w = 11 Add '-1' to each side of the equation. 1 + -1 + 5w = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 5w = 11 + -1 5w = 11 + -1 Combine like terms: 11 + -1 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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