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Simplifying -3 + -8 + 7r = 34 + 9r + -2 Combine like terms: -3 + -8 = -11 -11 + 7r = 34 + 9r + -2 Reorder the terms: -11 + 7r = 34 + -2 + 9r Combine like terms: 34 + -2 = 32 -11 + 7r = 32 + 9r Solving -11 + 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. -11 + 7r + -9r = 32 + 9r + -9r Combine like terms: 7r + -9r = -2r -11 + -2r = 32 + 9r + -9r Combine like terms: 9r + -9r = 0 -11 + -2r = 32 + 0 -11 + -2r = 32 Add '11' to each side of the equation. -11 + 11 + -2r = 32 + 11 Combine like terms: -11 + 11 = 0 0 + -2r = 32 + 11 -2r = 32 + 11 Combine like terms: 32 + 11 = 43 -2r = 43 Divide each side by '-2'. r = -21.5 Simplifying r = -21.5
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