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