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Simplifying 8 + 19r + -1 = 9r + 41 + -7r Reorder the terms: 8 + -1 + 19r = 9r + 41 + -7r Combine like terms: 8 + -1 = 7 7 + 19r = 9r + 41 + -7r Reorder the terms: 7 + 19r = 41 + 9r + -7r Combine like terms: 9r + -7r = 2r 7 + 19r = 41 + 2r Solving 7 + 19r = 41 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 7 + 19r + -2r = 41 + 2r + -2r Combine like terms: 19r + -2r = 17r 7 + 17r = 41 + 2r + -2r Combine like terms: 2r + -2r = 0 7 + 17r = 41 + 0 7 + 17r = 41 Add '-7' to each side of the equation. 7 + -7 + 17r = 41 + -7 Combine like terms: 7 + -7 = 0 0 + 17r = 41 + -7 17r = 41 + -7 Combine like terms: 41 + -7 = 34 17r = 34 Divide each side by '17'. r = 2 Simplifying r = 2
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