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Simplifying 23 + -32r = -8r + -1(-4r + 1) Reorder the terms: 23 + -32r = -8r + -1(1 + -4r) 23 + -32r = -8r + (1 * -1 + -4r * -1) 23 + -32r = -8r + (-1 + 4r) Reorder the terms: 23 + -32r = -1 + -8r + 4r Combine like terms: -8r + 4r = -4r 23 + -32r = -1 + -4r Solving 23 + -32r = -1 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 23 + -32r + 4r = -1 + -4r + 4r Combine like terms: -32r + 4r = -28r 23 + -28r = -1 + -4r + 4r Combine like terms: -4r + 4r = 0 23 + -28r = -1 + 0 23 + -28r = -1 Add '-23' to each side of the equation. 23 + -23 + -28r = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -28r = -1 + -23 -28r = -1 + -23 Combine like terms: -1 + -23 = -24 -28r = -24 Divide each side by '-28'. r = 0.8571428571 Simplifying r = 0.8571428571
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