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Simplifying -92 = -8(1 + -3r) + 4r -92 = (1 * -8 + -3r * -8) + 4r -92 = (-8 + 24r) + 4r Combine like terms: 24r + 4r = 28r -92 = -8 + 28r Solving -92 = -8 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. -92 + -28r = -8 + 28r + -28r Combine like terms: 28r + -28r = 0 -92 + -28r = -8 + 0 -92 + -28r = -8 Add '92' to each side of the equation. -92 + 92 + -28r = -8 + 92 Combine like terms: -92 + 92 = 0 0 + -28r = -8 + 92 -28r = -8 + 92 Combine like terms: -8 + 92 = 84 -28r = 84 Divide each side by '-28'. r = -3 Simplifying r = -3
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