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