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Simplifying -227 = 6(-8r + -5) + -5 Reorder the terms: -227 = 6(-5 + -8r) + -5 -227 = (-5 * 6 + -8r * 6) + -5 -227 = (-30 + -48r) + -5 Reorder the terms: -227 = -30 + -5 + -48r Combine like terms: -30 + -5 = -35 -227 = -35 + -48r Solving -227 = -35 + -48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48r' to each side of the equation. -227 + 48r = -35 + -48r + 48r Combine like terms: -48r + 48r = 0 -227 + 48r = -35 + 0 -227 + 48r = -35 Add '227' to each side of the equation. -227 + 227 + 48r = -35 + 227 Combine like terms: -227 + 227 = 0 0 + 48r = -35 + 227 48r = -35 + 227 Combine like terms: -35 + 227 = 192 48r = 192 Divide each side by '48'. r = 4 Simplifying r = 4
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