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Simplifying 5w + -19 = -4w + 8 Reorder the terms: -19 + 5w = -4w + 8 Reorder the terms: -19 + 5w = 8 + -4w Solving -19 + 5w = 8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -19 + 5w + 4w = 8 + -4w + 4w Combine like terms: 5w + 4w = 9w -19 + 9w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 -19 + 9w = 8 + 0 -19 + 9w = 8 Add '19' to each side of the equation. -19 + 19 + 9w = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 9w = 8 + 19 9w = 8 + 19 Combine like terms: 8 + 19 = 27 9w = 27 Divide each side by '9'. w = 3 Simplifying w = 3
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