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Simplifying 8 + 10r + -2 = 8r + 34 + -5r Reorder the terms: 8 + -2 + 10r = 8r + 34 + -5r Combine like terms: 8 + -2 = 6 6 + 10r = 8r + 34 + -5r Reorder the terms: 6 + 10r = 34 + 8r + -5r Combine like terms: 8r + -5r = 3r 6 + 10r = 34 + 3r Solving 6 + 10r = 34 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 6 + 10r + -3r = 34 + 3r + -3r Combine like terms: 10r + -3r = 7r 6 + 7r = 34 + 3r + -3r Combine like terms: 3r + -3r = 0 6 + 7r = 34 + 0 6 + 7r = 34 Add '-6' to each side of the equation. 6 + -6 + 7r = 34 + -6 Combine like terms: 6 + -6 = 0 0 + 7r = 34 + -6 7r = 34 + -6 Combine like terms: 34 + -6 = 28 7r = 28 Divide each side by '7'. r = 4 Simplifying r = 4
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