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Simplifying 9w + -7 = 4w + -17 Reorder the terms: -7 + 9w = 4w + -17 Reorder the terms: -7 + 9w = -17 + 4w Solving -7 + 9w = -17 + 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. -7 + 9w + -4w = -17 + 4w + -4w Combine like terms: 9w + -4w = 5w -7 + 5w = -17 + 4w + -4w Combine like terms: 4w + -4w = 0 -7 + 5w = -17 + 0 -7 + 5w = -17 Add '7' to each side of the equation. -7 + 7 + 5w = -17 + 7 Combine like terms: -7 + 7 = 0 0 + 5w = -17 + 7 5w = -17 + 7 Combine like terms: -17 + 7 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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