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Simplifying 5r + -1(-7r + -2) = 86 Reorder the terms: 5r + -1(-2 + -7r) = 86 5r + (-2 * -1 + -7r * -1) = 86 5r + (2 + 7r) = 86 Reorder the terms: 2 + 5r + 7r = 86 Combine like terms: 5r + 7r = 12r 2 + 12r = 86 Solving 2 + 12r = 86 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 12r = 86 + -2 Combine like terms: 2 + -2 = 0 0 + 12r = 86 + -2 12r = 86 + -2 Combine like terms: 86 + -2 = 84 12r = 84 Divide each side by '12'. r = 7 Simplifying r = 7
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