Let's simplify the expression step by step:
Given:
\[ 12(z + 4) - 3(14z + 1) \]
- Distribute the 12 and -3:
\[ 12(z) + 12(4) - 3(14z) - 3(1) \]
This simplifies to:
\[ 12z + 48 - 42z - 3 \]
- Combine like terms:
Combine \(12z\) and \(-42z\):
\[ 12z - 42z = -30z \]
Combine \(48\) and \(-3\):
\[ 48 - 3 = 45 \]
So the expression simplifies to:
\[ -30z + 45 \]
- To express this in fractional form, we can factor out the common factor, if necessary:
\[ -30z + 45 = -15(2z - 3) \]
Thus, the final answer as a fraction is:
\[ -15(2z - 3) \]
Alternatively, you can express this in terms of fractions if needed:
\[ -30z + 45 = \frac{-30z + 45}{1} \]
So, the simplified expression is:
\[ -30z + 45 \] or \(-15(2z - 3)\).
2 answers