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Simplifying 3 + 8(1 + 6r) = -277 3 + (1 * 8 + 6r * 8) = -277 3 + (8 + 48r) = -277 Combine like terms: 3 + 8 = 11 11 + 48r = -277 Solving 11 + 48r = -277 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 48r = -277 + -11 Combine like terms: 11 + -11 = 0 0 + 48r = -277 + -11 48r = -277 + -11 Combine like terms: -277 + -11 = -288 48r = -288 Divide each side by '48'. r = -6 Simplifying r = -6
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