Question

The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

0.8 = 0.8
–0.8 = –0.8
3 = 3
–3 = –3

Please answer this correctly

Answer 1

To verify that \( n = -2 \) is a solution to the equation \( 1.4n + 2 = 2n + 3.2 \), we can substitute \( n = -2 \) into the equation and simplify both sides:

Left-hand side (LHS):
\[
1.4(-2) + 2 = -2.8 + 2 = -0.8
\]

Right-hand side (RHS):
\[
2(-2) + 3.2 = -4 + 3.2 = -0.8
\]

Since both sides are equal:
\[
-0.8 = -0.8
\]

The last line of the justification saying that they are equal is:
\[
-0.8 = -0.8
\]

So, the final justification that confirms \( n = -2 \) is indeed a solution is:
\[
-0.8 = -0.8
\]