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To solve the equation
\[
\frac{1}{4}(8 - 16g) + 8 = g,
\]
we first simplify the left side of the equation.
Start by distributing \(\frac{1}{4}\) into the expression \(8 - 16g\):
\[
\frac{1}{4}(8) - \frac{1}{4}(16g) = 2 - 4g.
\]
Now, replace \(\frac{1}{4}(8 - 16g)\) in the original equation:
\[
2 - 4g + 8 = g.
\]
Next, combine the constant terms on the left side:
\[
10 - 4g = g.
\]
Now, we will isolate \(g\). First, add \(4g\) to both sides of the equation:
\[
10 = g + 4g,
\]
which simplifies to:
\[
10 = 5g.
\]
Next, divide both sides by \(5\):
\[
g = \frac{10}{5} = 2.
\]
Thus, the solution to the equation is
\[
\boxed{2}.
\]