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Simplifying -3r + 5(1 + -6r) = -127 -3r + (1 * 5 + -6r * 5) = -127 -3r + (5 + -30r) = -127 Reorder the terms: 5 + -3r + -30r = -127 Combine like terms: -3r + -30r = -33r 5 + -33r = -127 Solving 5 + -33r = -127 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -33r = -127 + -5 Combine like terms: 5 + -5 = 0 0 + -33r = -127 + -5 -33r = -127 + -5 Combine like terms: -127 + -5 = -132 -33r = -132 Divide each side by '-33'. r = 4 Simplifying r = 4
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