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Simplifying r + 9 = -3r + 49 Reorder the terms: 9 + r = -3r + 49 Reorder the terms: 9 + r = 49 + -3r Solving 9 + r = 49 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 9 + r + 3r = 49 + -3r + 3r Combine like terms: r + 3r = 4r 9 + 4r = 49 + -3r + 3r Combine like terms: -3r + 3r = 0 9 + 4r = 49 + 0 9 + 4r = 49 Add '-9' to each side of the equation. 9 + -9 + 4r = 49 + -9 Combine like terms: 9 + -9 = 0 0 + 4r = 49 + -9 4r = 49 + -9 Combine like terms: 49 + -9 = 40 4r = 40 Divide each side by '4'. r = 10 Simplifying r = 10
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