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Simplifying 3r + 13 = 9r + -17 Reorder the terms: 13 + 3r = 9r + -17 Reorder the terms: 13 + 3r = -17 + 9r Solving 13 + 3r = -17 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 13 + 3r + -9r = -17 + 9r + -9r Combine like terms: 3r + -9r = -6r 13 + -6r = -17 + 9r + -9r Combine like terms: 9r + -9r = 0 13 + -6r = -17 + 0 13 + -6r = -17 Add '-13' to each side of the equation. 13 + -13 + -6r = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -6r = -17 + -13 -6r = -17 + -13 Combine like terms: -17 + -13 = -30 -6r = -30 Divide each side by '-6'. r = 5 Simplifying r = 5
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