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Simplifying 1w + -19 = 5 + 9w Reorder the terms: -19 + 1w = 5 + 9w Solving -19 + 1w = 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 + 1w + -9w = 5 + 9w + -9w Combine like terms: 1w + -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 = 24 -8w = 24 Divide each side by '-8'. w = -3 Simplifying w = -3
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