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Simplifying 2r + 9 = -7r Reorder the terms: 9 + 2r = -7r Solving 9 + 2r = -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 9 + 2r + 7r = -7r + 7r Combine like terms: 2r + 7r = 9r 9 + 9r = -7r + 7r Combine like terms: -7r + 7r = 0 9 + 9r = 0 Add '-9' to each side of the equation. 9 + -9 + 9r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9r = 0 + -9 9r = 0 + -9 Combine like terms: 0 + -9 = -9 9r = -9 Divide each side by '9'. r = -1 Simplifying r = -1
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