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Simplifying 5w + 4 = -22 + -8w Reorder the terms: 4 + 5w = -22 + -8w Solving 4 + 5w = -22 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 4 + 5w + 8w = -22 + -8w + 8w Combine like terms: 5w + 8w = 13w 4 + 13w = -22 + -8w + 8w Combine like terms: -8w + 8w = 0 4 + 13w = -22 + 0 4 + 13w = -22 Add '-4' to each side of the equation. 4 + -4 + 13w = -22 + -4 Combine like terms: 4 + -4 = 0 0 + 13w = -22 + -4 13w = -22 + -4 Combine like terms: -22 + -4 = -26 13w = -26 Divide each side by '13'. w = -2 Simplifying w = -2
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