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Simplifying 5r + 3 + -1r = 8 + 2r + -1 Reorder the terms: 3 + 5r + -1r = 8 + 2r + -1 Combine like terms: 5r + -1r = 4r 3 + 4r = 8 + 2r + -1 Reorder the terms: 3 + 4r = 8 + -1 + 2r Combine like terms: 8 + -1 = 7 3 + 4r = 7 + 2r Solving 3 + 4r = 7 + 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. 3 + 4r + -2r = 7 + 2r + -2r Combine like terms: 4r + -2r = 2r 3 + 2r = 7 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 2r = 7 + 0 3 + 2r = 7 Add '-3' to each side of the equation. 3 + -3 + 2r = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 7 + -3 2r = 7 + -3 Combine like terms: 7 + -3 = 4 2r = 4 Divide each side by '2'. r = 2 Simplifying r = 2
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