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Simplifying w + -8 = 22 + -5w Reorder the terms: -8 + w = 22 + -5w Solving -8 + w = 22 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -8 + w + 5w = 22 + -5w + 5w Combine like terms: w + 5w = 6w -8 + 6w = 22 + -5w + 5w Combine like terms: -5w + 5w = 0 -8 + 6w = 22 + 0 -8 + 6w = 22 Add '8' to each side of the equation. -8 + 8 + 6w = 22 + 8 Combine like terms: -8 + 8 = 0 0 + 6w = 22 + 8 6w = 22 + 8 Combine like terms: 22 + 8 = 30 6w = 30 Divide each side by '6'. w = 5 Simplifying w = 5
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