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Simplifying 4r + 9 = -8r + -13 Reorder the terms: 9 + 4r = -8r + -13 Reorder the terms: 9 + 4r = -13 + -8r Solving 9 + 4r = -13 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 9 + 4r + 8r = -13 + -8r + 8r Combine like terms: 4r + 8r = 12r 9 + 12r = -13 + -8r + 8r Combine like terms: -8r + 8r = 0 9 + 12r = -13 + 0 9 + 12r = -13 Add '-9' to each side of the equation. 9 + -9 + 12r = -13 + -9 Combine like terms: 9 + -9 = 0 0 + 12r = -13 + -9 12r = -13 + -9 Combine like terms: -13 + -9 = -22 12r = -22 Divide each side by '12'. r = -1.833333333 Simplifying r = -1.833333333
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