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Simplifying 1 + 6(1 + 5r) = -83 1 + (1 * 6 + 5r * 6) = -83 1 + (6 + 30r) = -83 Combine like terms: 1 + 6 = 7 7 + 30r = -83 Solving 7 + 30r = -83 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 30r = -83 + -7 Combine like terms: 7 + -7 = 0 0 + 30r = -83 + -7 30r = -83 + -7 Combine like terms: -83 + -7 = -90 30r = -90 Divide each side by '30'. r = -3 Simplifying r = -3
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