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Simplifying -8r + 7(8r + 4) = 172 Reorder the terms: -8r + 7(4 + 8r) = 172 -8r + (4 * 7 + 8r * 7) = 172 -8r + (28 + 56r) = 172 Reorder the terms: 28 + -8r + 56r = 172 Combine like terms: -8r + 56r = 48r 28 + 48r = 172 Solving 28 + 48r = 172 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 48r = 172 + -28 Combine like terms: 28 + -28 = 0 0 + 48r = 172 + -28 48r = 172 + -28 Combine like terms: 172 + -28 = 144 48r = 144 Divide each side by '48'. r = 3 Simplifying r = 3
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