To solve the equation \(2(8r + 5) - 3 = 4(4r - 1) + 11\), we start by simplifying both sides.
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Distribute on both sides: \[ 2(8r) + 2(5) - 3 = 4(4r) - 4 + 11 \] This simplifies to: \[ 16r + 10 - 3 = 16r - 4 + 11 \] Which further simplifies to: \[ 16r + 7 = 16r + 7 \]
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Next, we notice that both sides are identical: \[ 16r + 7 = 16r + 7 \]
This implies that the equation is true for all values of \(r\). Thus, the solution is:
\[ \text{All real numbers } r. \]