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Simplifying 4w + 9 = 9w + -7 Reorder the terms: 9 + 4w = 9w + -7 Reorder the terms: 9 + 4w = -7 + 9w Solving 9 + 4w = -7 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 9 + 4w + -9w = -7 + 9w + -9w Combine like terms: 4w + -9w = -5w 9 + -5w = -7 + 9w + -9w Combine like terms: 9w + -9w = 0 9 + -5w = -7 + 0 9 + -5w = -7 Add '-9' to each side of the equation. 9 + -9 + -5w = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -5w = -7 + -9 -5w = -7 + -9 Combine like terms: -7 + -9 = -16 -5w = -16 Divide each side by '-5'. w = 3.2 Simplifying w = 3.2
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