Simplify -5 + 3/4 ( 8h + 12 ) - 10h

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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

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

  2. Substitute this back into the expression: \[ -5 + 6h + 9 - 10h \]

  3. Combine the constant terms \(-5\) and \(9\): \[ -5 + 9 = 4 \]

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

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

So, the simplified expression is: \[ \boxed{4 - 4h} \]