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Simplifying 5w + -17 = 7 + -1w Reorder the terms: -17 + 5w = 7 + -1w Solving -17 + 5w = 7 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -17 + 5w + w = 7 + -1w + w Combine like terms: 5w + w = 6w -17 + 6w = 7 + -1w + w Combine like terms: -1w + w = 0 -17 + 6w = 7 + 0 -17 + 6w = 7 Add '17' to each side of the equation. -17 + 17 + 6w = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 6w = 7 + 17 6w = 7 + 17 Combine like terms: 7 + 17 = 24 6w = 24 Divide each side by '6'. w = 4 Simplifying w = 4
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