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Simplifying 11 + 8 + 7r = 34 + 9r + -2 Combine like terms: 11 + 8 = 19 19 + 7r = 34 + 9r + -2 Reorder the terms: 19 + 7r = 34 + -2 + 9r Combine like terms: 34 + -2 = 32 19 + 7r = 32 + 9r Solving 19 + 7r = 32 + 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. 19 + 7r + -9r = 32 + 9r + -9r Combine like terms: 7r + -9r = -2r 19 + -2r = 32 + 9r + -9r Combine like terms: 9r + -9r = 0 19 + -2r = 32 + 0 19 + -2r = 32 Add '-19' to each side of the equation. 19 + -19 + -2r = 32 + -19 Combine like terms: 19 + -19 = 0 0 + -2r = 32 + -19 -2r = 32 + -19 Combine like terms: 32 + -19 = 13 -2r = 13 Divide each side by '-2'. r = -6.5 Simplifying r = -6.5
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