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