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Simplifying -2r + 7(1 + -4r) = -233 -2r + (1 * 7 + -4r * 7) = -233 -2r + (7 + -28r) = -233 Reorder the terms: 7 + -2r + -28r = -233 Combine like terms: -2r + -28r = -30r 7 + -30r = -233 Solving 7 + -30r = -233 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 = -233 + -7 Combine like terms: 7 + -7 = 0 0 + -30r = -233 + -7 -30r = -233 + -7 Combine like terms: -233 + -7 = -240 -30r = -240 Divide each side by '-30'. r = 8 Simplifying r = 8
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