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Simplifying -4r + 21 = -7(5 + -4r) + -8 Reorder the terms: 21 + -4r = -7(5 + -4r) + -8 21 + -4r = (5 * -7 + -4r * -7) + -8 21 + -4r = (-35 + 28r) + -8 Reorder the terms: 21 + -4r = -35 + -8 + 28r Combine like terms: -35 + -8 = -43 21 + -4r = -43 + 28r Solving 21 + -4r = -43 + 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. 21 + -4r + -28r = -43 + 28r + -28r Combine like terms: -4r + -28r = -32r 21 + -32r = -43 + 28r + -28r Combine like terms: 28r + -28r = 0 21 + -32r = -43 + 0 21 + -32r = -43 Add '-21' to each side of the equation. 21 + -21 + -32r = -43 + -21 Combine like terms: 21 + -21 = 0 0 + -32r = -43 + -21 -32r = -43 + -21 Combine like terms: -43 + -21 = -64 -32r = -64 Divide each side by '-32'. r = 2 Simplifying r = 2
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