Simplify −5+34(8h+12)−10h

To simplify the expression \(-5 + 34(8h + 12) - 10h\), follow these steps:

1. Distribute \(34\) to both terms inside the parentheses:

\[ 34(8h) + 34(12) = 272h + 408 \]

2. Substitute back into the expression:

\[ -5 + 272h + 408 - 10h \]

3. Combine like terms:

   • Combine the \(h\) terms: \(272h - 10h = 262h\)
   • Combine the constant terms: \(-5 + 408 = 403\)

Thus, the simplified expression is:

\[ 262h + 403 \]

I apologize for any misunderstanding. Let's re-evaluate the expression step-by-step carefully.

The original expression is:

\[ −5 + 34(8h + 12) − 10h \]

First, distribute \(34\) to both terms inside the parentheses \( (8h + 12) \):

\[ 34 \cdot 8h + 34 \cdot 12 = 272h + 408 \]

Now substitute this back into the expression:

\[ -5 + 272h + 408 - 10h \]

Now combine the \(h\) terms \(272h - 10h\):

\[ 272h - 10h = 262h \]

Next, combine the constant terms \(-5 + 408\):

\[ -5 + 408 = 403 \]

Putting it all together gives us:

\[ 262h + 403 \]

So the final simplified expression is:

\[ \boxed{262h + 403} \]

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