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Simplifying 8r + -5r + 3 = 7r + -1r Reorder the terms: 3 + 8r + -5r = 7r + -1r Combine like terms: 8r + -5r = 3r 3 + 3r = 7r + -1r Combine like terms: 7r + -1r = 6r 3 + 3r = 6r Solving 3 + 3r = 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. 3 + 3r + -6r = 6r + -6r Combine like terms: 3r + -6r = -3r 3 + -3r = 6r + -6r Combine like terms: 6r + -6r = 0 3 + -3r = 0 Add '-3' to each side of the equation. 3 + -3 + -3r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -3r = 0 + -3 -3r = 0 + -3 Combine like terms: 0 + -3 = -3 -3r = -3 Divide each side by '-3'. r = 1 Simplifying r = 1
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