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Simplifying -3r + -8 + 7r = 34 + 9r + -2 Reorder the terms: -8 + -3r + 7r = 34 + 9r + -2 Combine like terms: -3r + 7r = 4r -8 + 4r = 34 + 9r + -2 Reorder the terms: -8 + 4r = 34 + -2 + 9r Combine like terms: 34 + -2 = 32 -8 + 4r = 32 + 9r Solving -8 + 4r = 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. -8 + 4r + -9r = 32 + 9r + -9r Combine like terms: 4r + -9r = -5r -8 + -5r = 32 + 9r + -9r Combine like terms: 9r + -9r = 0 -8 + -5r = 32 + 0 -8 + -5r = 32 Add '8' to each side of the equation. -8 + 8 + -5r = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 32 + 8 -5r = 32 + 8 Combine like terms: 32 + 8 = 40 -5r = 40 Divide each side by '-5'. r = -8 Simplifying r = -8
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