Simplify −5 + 3/4 ( 8 h + 12 ) − 10 h

Question

.(1 point)

Answer 1

To simplify the expression \(-5 + \frac{3}{4} (8h + 12) - 10h\), we can follow these steps:

1. Distribute \(\frac{3}{4}\) to \(8h\) and \(12\): \[ \frac{3}{4} \cdot 8h = 6h \] \[ \frac{3}{4} \cdot 12 = 9 \]

   So, \(\frac{3}{4} (8h + 12) = 6h + 9\).

2. Rewrite the expression with the distributed terms: \[ -5 + 6h + 9 - 10h \]

3. Combine like terms. Start with the constants: \[ -5 + 9 = 4 \]

4. Now combine the \(h\) terms: \[ 6h - 10h = -4h \]

5. Putting it all together, we have: \[ 4 - 4h \]

So the simplified expression is: \[ 4 - 4h \]

Answer 2

no

Answer 3

Let’s go through the simplification step-by-step again to ensure clarity.

Given the expression:

\[ -5 + \frac{3}{4} (8h + 12) - 10h \]

1. Distribute \(\frac{3}{4}\) across the terms inside the parentheses: \[ \frac{3}{4} \cdot 8h = 6h \] \[ \frac{3}{4} \cdot 12 = 9 \]

   Therefore: \[ \frac{3}{4}(8h + 12) = 6h + 9 \]

2. Substituting back into the expression gives us: \[ -5 + 6h + 9 - 10h \]

3. Combine like terms:

   • Combine the constant terms: \[ -5 + 9 = 4 \]
   • Combine the \(h\) terms: \[ 6h - 10h = -4h \]

4. Final expression: \[ 4 - 4h \]

The final simplified expression is: \[ 4 - 4h \]

If there is a specific part you would like me to explain further or if you meant something different, please let me know!