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Simplifying 3r + 9 = -4r + 5 Reorder the terms: 9 + 3r = -4r + 5 Reorder the terms: 9 + 3r = 5 + -4r Solving 9 + 3r = 5 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 9 + 3r + 4r = 5 + -4r + 4r Combine like terms: 3r + 4r = 7r 9 + 7r = 5 + -4r + 4r Combine like terms: -4r + 4r = 0 9 + 7r = 5 + 0 9 + 7r = 5 Add '-9' to each side of the equation. 9 + -9 + 7r = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 7r = 5 + -9 7r = 5 + -9 Combine like terms: 5 + -9 = -4 7r = -4 Divide each side by '7'. r = -0.5714285714 Simplifying r = -0.5714285714
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