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Simplifying 5r + -3r + 8 = 7r + -1r Reorder the terms: 8 + 5r + -3r = 7r + -1r Combine like terms: 5r + -3r = 2r 8 + 2r = 7r + -1r Combine like terms: 7r + -1r = 6r 8 + 2r = 6r Solving 8 + 2r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 8 + 2r + -6r = 6r + -6r Combine like terms: 2r + -6r = -4r 8 + -4r = 6r + -6r Combine like terms: 6r + -6r = 0 8 + -4r = 0 Add '-8' to each side of the equation. 8 + -8 + -4r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4r = 0 + -8 -4r = 0 + -8 Combine like terms: 0 + -8 = -8 -4r = -8 Divide each side by '-4'. r = 2 Simplifying r = 2
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