Final answer:
To find the unknown binomial when the sum is -6z + 2 and one binomial is 32 - 3, simplify the given binomial to 29 and subtract it from the sum, yielding the other binomial as -6z - 27.
Step-by-step explanation:
The student is asked to find the sum of two binomials, where the sum is given as - 6z + 2 and one of the binomials is 32 - 3. To find the other binomial, we need to simplify the given binomial and then subtract it from the sum of the two binomials.
First, simplify the given binomial:
32 - 3 = 29
Now, we find the other binomial by subtracting the simplified binomial from the sum:
- 6z + 2 - (29) = - 6z - 27
Therefore, the other binomial is - 6z - 27.