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Simplifying w + 19 = 5 + 9w Reorder the terms: 19 + w = 5 + 9w Solving 19 + w = 5 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 19 + w + -9w = 5 + 9w + -9w Combine like terms: w + -9w = -8w 19 + -8w = 5 + 9w + -9w Combine like terms: 9w + -9w = 0 19 + -8w = 5 + 0 19 + -8w = 5 Add '-19' to each side of the equation. 19 + -19 + -8w = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -8w = 5 + -19 -8w = 5 + -19 Combine like terms: 5 + -19 = -14 -8w = -14 Divide each side by '-8'. w = 1.75 Simplifying w = 1.75
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