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Simplifying 6 + 8r + -2 = 6 + 5r + -5 Reorder the terms: 6 + -2 + 8r = 6 + 5r + -5 Combine like terms: 6 + -2 = 4 4 + 8r = 6 + 5r + -5 Reorder the terms: 4 + 8r = 6 + -5 + 5r Combine like terms: 6 + -5 = 1 4 + 8r = 1 + 5r Solving 4 + 8r = 1 + 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. 4 + 8r + -5r = 1 + 5r + -5r Combine like terms: 8r + -5r = 3r 4 + 3r = 1 + 5r + -5r Combine like terms: 5r + -5r = 0 4 + 3r = 1 + 0 4 + 3r = 1 Add '-4' to each side of the equation. 4 + -4 + 3r = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 1 + -4 3r = 1 + -4 Combine like terms: 1 + -4 = -3 3r = -3 Divide each side by '3'. r = -1 Simplifying r = -1
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