This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here is the solution to the problem. Problem 9: Simplify. 5(2a + b) + 4(2a - b) Step 1: Distribute the numbers outside the parentheses to the terms inside. 5(2a + b) = 5 × 2a + 5 × b = 10a + 5b 4(2a - b) = 4 × 2a - 4 × b = 8a - 4b Step 2: Combine the distributed expressions. (10a + 5b) + (8a - 4b) Step 3: Group like terms. (10a + 8a) + (5b - 4b) Step 4: Perform the addition and subtraction for the like terms. 10a + 8a = 18a 5b - 4b = 1b = b Step 5: Write the simplified expression. 18a + b The simplified expression is 18a + b. 3 done, 2 left today. You're making progress.