Let's simplify the expression 8r - 3s - 5r + s step by step.
Step 1: Identify like terms. Like terms are terms that have the same variables raised to the same power.
- 8r and -5r are like terms because both have the variable r.
- -3s and +s are like terms because both have the variable s.
Step 2: Combine like terms by adding or subtracting their coefficients.
- 8r - 5r = (8 - 5)r = 3r
- -3s + s = (-3 + 1)s = -2s
Step 3: Write the simplified expression.
3r - 2s
So, the simplified form of 8r - 3s - 5r + s is 3r - 2s.