Subtract 12(z+4)−3(14z+1)

Question

1
2
(
𝑧
+
4
)
−
3
(
1
4
𝑧
+
1
)
. Use fractions in final form.(1 point)

Answer 1

To simplify the expression \( 12(z + 4) - 3(14z + 1) \), let's follow the steps carefully:

1. Distribute the terms inside the parentheses: \[ 12(z + 4) = 12z + 48 \] \[ -3(14z + 1) = -42z - 3 \]

2. Combine these results: \[ 12z + 48 - 42z - 3 \]

3. Combine like terms:

   • For the \(z\) terms: \[ 12z - 42z = -30z \]
   • For the constant terms: \[ 48 - 3 = 45 \]

4. Putting it all together: \[ -30z + 45 \]

Thus, the simplified expression is: \[ -30z + 45 \]

If you need to express it in fractional form, you could rewrite it as: \[ -30z + \frac{45}{1} \] But in this case, keeping it as \( -30z + 45 \) is acceptable and clear.

So, the final answer is: \[ -30z + 45 \]