Question

First, combine like terms. Then substitute in the values (a = 4) and (b = (-3)). Your final answer should be a number; circle it. Remember to show all your work!

[2(3a) + 5a + 2b - 3b

Answer 1

After combining like terms, the algebraic expression simplifies to 11a - 1b. Substituting a=4 and b=-3 results in the final answer, which is 47.

Step-by-step explanation:

The student is asking for assistance with combining like terms and then evaluating an algebraic expression by substituting given values for the variables.

First, let's combine like terms in the expression 2(3a) + 5a + 2b - 3b.

We start by expanding the term 2(3a) which becomes 6a. Now the expression looks like this: 6a + 5a + 2b - 3b. Next, we combine like terms, meaning we add the coefficients of like variables:

• For 'a' terms: 6a + 5a = 11a
• For 'b' terms: 2b - 3b = -1b

Now the simplified expression is: 11a - 1b.

Next, we substitute in the values for a and b (a = 4 and b = -3): 11(4) - 1(-3).

Finally, we calculate the result: 11(4) + 3 = 44 + 3 = 47.

Therefore, the answer, which we should circle, is 47.