Final answer:
The simplified expression is -23k - 5m after combining like terms, where the terms with 'k' are added together and the term with 'm' remains unchanged.
Step-by-step explanation:
When simplifying the expression 4k − 5m - 32k + 5k, we need to combine like terms. The terms containing 'k' are 4k, -32k, and 5k. To combine them, add their coefficients: 4 - 32 + 5, which equals -23. Therefore, the terms with 'k' simplify to -23k.
As for the 'm' term, there is only one, which is -5m, so it remains unchanged in our expression. Therefore, the simplified expression is -23k - 5m.