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Simplifying 2r + 9 = 7r + -8 + 12r Reorder the terms: 9 + 2r = 7r + -8 + 12r Reorder the terms: 9 + 2r = -8 + 7r + 12r Combine like terms: 7r + 12r = 19r 9 + 2r = -8 + 19r Solving 9 + 2r = -8 + 19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-19r' to each side of the equation. 9 + 2r + -19r = -8 + 19r + -19r Combine like terms: 2r + -19r = -17r 9 + -17r = -8 + 19r + -19r Combine like terms: 19r + -19r = 0 9 + -17r = -8 + 0 9 + -17r = -8 Add '-9' to each side of the equation. 9 + -9 + -17r = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -17r = -8 + -9 -17r = -8 + -9 Combine like terms: -8 + -9 = -17 -17r = -17 Divide each side by '-17'. r = 1 Simplifying r = 1
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