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Simplifying 1 + 6(-8r + 7) = -101 Reorder the terms: 1 + 6(7 + -8r) = -101 1 + (7 * 6 + -8r * 6) = -101 1 + (42 + -48r) = -101 Combine like terms: 1 + 42 = 43 43 + -48r = -101 Solving 43 + -48r = -101 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -48r = -101 + -43 Combine like terms: 43 + -43 = 0 0 + -48r = -101 + -43 -48r = -101 + -43 Combine like terms: -101 + -43 = -144 -48r = -144 Divide each side by '-48'. r = 3 Simplifying r = 3
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