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Simplifying 5r + 3r + 6 + -1r + 2 = 0 Reorder the terms: 6 + 2 + 5r + 3r + -1r = 0 Combine like terms: 6 + 2 = 8 8 + 5r + 3r + -1r = 0 Combine like terms: 5r + 3r = 8r 8 + 8r + -1r = 0 Combine like terms: 8r + -1r = 7r 8 + 7r = 0 Solving 8 + 7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7r = 0 + -8 7r = 0 + -8 Combine like terms: 0 + -8 = -8 7r = -8 Divide each side by '7'. r = -1.142857143 Simplifying r = -1.142857143
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