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Simplifying 11(w + 24) = 33w Reorder the terms: 11(24 + w) = 33w (24 * 11 + w * 11) = 33w (264 + 11w) = 33w Solving 264 + 11w = 33w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-33w' to each side of the equation. 264 + 11w + -33w = 33w + -33w Combine like terms: 11w + -33w = -22w 264 + -22w = 33w + -33w Combine like terms: 33w + -33w = 0 264 + -22w = 0 Add '-264' to each side of the equation. 264 + -264 + -22w = 0 + -264 Combine like terms: 264 + -264 = 0 0 + -22w = 0 + -264 -22w = 0 + -264 Combine like terms: 0 + -264 = -264 -22w = -264 Divide each side by '-22'. w = 12 Simplifying w = 12
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