Question

1. simplify by combining like terms: 3e + 5e + 2w + w - 5

Explanation:

Step1: Combine like terms for E

To combine \(3E\) and \(5E\), we add their coefficients. The coefficient of \(3E\) is 3 and the coefficient of \(5E\) is 5. So, \(3E + 5E=(3 + 5)E = 8E\).

Step2: Combine like terms for W

To combine \(2W\) and \(W\), we add their coefficients. The coefficient of \(2W\) is 2 and the coefficient of \(W\) (which is \(1W\)) is 1. So, \(2W+W=(2 + 1)W = 3W\).

Step3: Combine all terms

Now we have the combined terms for E, the combined terms for W, and the constant term \(-5\). Putting them together, we get \(8E+3W - 5\).

Answer:

\(8E + 3W-5\)