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Simplifying 5w + 8 = -4w + -19 Reorder the terms: 8 + 5w = -4w + -19 Reorder the terms: 8 + 5w = -19 + -4w Solving 8 + 5w = -19 + -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. 8 + 5w + 4w = -19 + -4w + 4w Combine like terms: 5w + 4w = 9w 8 + 9w = -19 + -4w + 4w Combine like terms: -4w + 4w = 0 8 + 9w = -19 + 0 8 + 9w = -19 Add '-8' to each side of the equation. 8 + -8 + 9w = -19 + -8 Combine like terms: 8 + -8 = 0 0 + 9w = -19 + -8 9w = -19 + -8 Combine like terms: -19 + -8 = -27 9w = -27 Divide each side by '9'. w = -3 Simplifying w = -3
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