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Simplifying 12r + 13 = 181 + -9r Reorder the terms: 13 + 12r = 181 + -9r Solving 13 + 12r = 181 + -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 + 12r + 9r = 181 + -9r + 9r Combine like terms: 12r + 9r = 21r 13 + 21r = 181 + -9r + 9r Combine like terms: -9r + 9r = 0 13 + 21r = 181 + 0 13 + 21r = 181 Add '-13' to each side of the equation. 13 + -13 + 21r = 181 + -13 Combine like terms: 13 + -13 = 0 0 + 21r = 181 + -13 21r = 181 + -13 Combine like terms: 181 + -13 = 168 21r = 168 Divide each side by '21'. r = 8 Simplifying r = 8
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