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Simplifying 31 + -2r = 10 + -9r Solving 31 + -2r = 10 + -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. 31 + -2r + 9r = 10 + -9r + 9r Combine like terms: -2r + 9r = 7r 31 + 7r = 10 + -9r + 9r Combine like terms: -9r + 9r = 0 31 + 7r = 10 + 0 31 + 7r = 10 Add '-31' to each side of the equation. 31 + -31 + 7r = 10 + -31 Combine like terms: 31 + -31 = 0 0 + 7r = 10 + -31 7r = 10 + -31 Combine like terms: 10 + -31 = -21 7r = -21 Divide each side by '7'. r = -3 Simplifying r = -3
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