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Simplifying 4w + 11 = 3w + 17 Reorder the terms: 11 + 4w = 3w + 17 Reorder the terms: 11 + 4w = 17 + 3w Solving 11 + 4w = 17 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 11 + 4w + -3w = 17 + 3w + -3w Combine like terms: 4w + -3w = 1w 11 + 1w = 17 + 3w + -3w Combine like terms: 3w + -3w = 0 11 + 1w = 17 + 0 11 + 1w = 17 Add '-11' to each side of the equation. 11 + -11 + 1w = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 1w = 17 + -11 1w = 17 + -11 Combine like terms: 17 + -11 = 6 1w = 6 Divide each side by '1'. w = 6 Simplifying w = 6
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