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Simplifying 9 + 3r + -5 = 9r + 13 + -5r Reorder the terms: 9 + -5 + 3r = 9r + 13 + -5r Combine like terms: 9 + -5 = 4 4 + 3r = 9r + 13 + -5r Reorder the terms: 4 + 3r = 13 + 9r + -5r Combine like terms: 9r + -5r = 4r 4 + 3r = 13 + 4r Solving 4 + 3r = 13 + 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. 4 + 3r + -4r = 13 + 4r + -4r Combine like terms: 3r + -4r = -1r 4 + -1r = 13 + 4r + -4r Combine like terms: 4r + -4r = 0 4 + -1r = 13 + 0 4 + -1r = 13 Add '-4' to each side of the equation. 4 + -4 + -1r = 13 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 13 + -4 -1r = 13 + -4 Combine like terms: 13 + -4 = 9 -1r = 9 Divide each side by '-1'. r = -9 Simplifying r = -9
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