Question

simplify the expression: 7j + 4j - 7j - 2j + 10j

Explanation:

Step1: Combine like terms (7j, 4j, -7j, -2j, 10j)

We know that for terms with the same variable (in this case \( j \)), we can add or subtract their coefficients. So we first find the sum of the coefficients: \( 7 + 4 - 7 - 2 + 10 \).

Step2: Calculate the sum of coefficients

First, \( 7 + 4 = 11 \). Then, \( 11 - 7 = 4 \). Next, \( 4 - 2 = 2 \). Finally, \( 2 + 10 = 12 \).

Step3: Multiply the sum by \( j \)

Since the variable is \( j \), we multiply the sum of the coefficients (12) by \( j \), giving \( 12j \).

Answer:

\( 12j \)