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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 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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