Question

simplify the expression:
7 + 3b - 10 + 3b - 4b + 10

Explanation:

Step1: Combine constant terms

First, combine the constant terms (the terms without the variable \( b \)): \( 7 - 10 + 10 \).
\( 7 - 10 + 10 = 7 + ( - 10 + 10)=7 + 0 = 7 \)

Step2: Combine like terms with \( b \)

Next, combine the terms with the variable \( b \): \( 3b + 3b - 4b \).
\( 3b + 3b - 4b=(3 + 3 - 4)b=(6 - 4)b = 2b \)

Step3: Combine the results

Now, combine the result from the constant terms and the result from the terms with \( b \): \( 7+2b \)

Answer:

\( 2b + 7 \)