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Simplifying 8 + 6r + -7 = 7r + 3 + -2r Reorder the terms: 8 + -7 + 6r = 7r + 3 + -2r Combine like terms: 8 + -7 = 1 1 + 6r = 7r + 3 + -2r Reorder the terms: 1 + 6r = 3 + 7r + -2r Combine like terms: 7r + -2r = 5r 1 + 6r = 3 + 5r Solving 1 + 6r = 3 + 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. 1 + 6r + -5r = 3 + 5r + -5r Combine like terms: 6r + -5r = 1r 1 + 1r = 3 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + 1r = 3 + 0 1 + 1r = 3 Add '-1' to each side of the equation. 1 + -1 + 1r = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 1r = 3 + -1 1r = 3 + -1 Combine like terms: 3 + -1 = 2 1r = 2 Divide each side by '1'. r = 2 Simplifying r = 2
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