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Simplifying 4w + 1 = 9w + -19 Reorder the terms: 1 + 4w = 9w + -19 Reorder the terms: 1 + 4w = -19 + 9w Solving 1 + 4w = -19 + 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. 1 + 4w + -9w = -19 + 9w + -9w Combine like terms: 4w + -9w = -5w 1 + -5w = -19 + 9w + -9w Combine like terms: 9w + -9w = 0 1 + -5w = -19 + 0 1 + -5w = -19 Add '-1' to each side of the equation. 1 + -1 + -5w = -19 + -1 Combine like terms: 1 + -1 = 0 0 + -5w = -19 + -1 -5w = -19 + -1 Combine like terms: -19 + -1 = -20 -5w = -20 Divide each side by '-5'. w = 4 Simplifying w = 4
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