Simplify −5+34(8h+12)−10h.(1 point

3 answers

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

  1. Distribute the \(34\) to both terms inside the parentheses: \[ 34(8h) + 34(12) = 272h + 408. \]

  2. Substitute this back into the expression: \[ -5 + 272h + 408 - 10h. \]

  3. Combine like terms, starting with the \(h\) terms: \[ 272h - 10h = 262h. \]

  4. Now combine the constant terms: \[ -5 + 408 = 403. \]

  5. Putting it all together, we have: \[ 262h + 403. \]

So, the simplified expression is: \[ \boxed{262h + 403}. \]

It said it’s wrong

Let's go through the simplification step-by-step again to identify any potential mistakes:

We start with the expression:

\[ -5 + 34(8h + 12) - 10h \]

  1. Distribute \(34\) across the terms in parentheses:

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

So, we rewrite the expression:

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

  1. Combine the \(h\) terms:

Combine \(272h - 10h\):

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

  1. Combine the constant terms:

Combine \(-5 + 408\):

\[ -5 + 408 = 403 \]

  1. Write the final expression:

Now we gather everything:

\[ 262h + 403 \]

Thus, upon verification, the simplified expression is indeed:

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

If you have confirmation that this is incorrect, please provide the details of the expected or correct answer.

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