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?
options:
( 0.8 = 0.8 )
( -0.8 = -0.8 )
( 3 = 3 )
( -3 = -3 )

Explanation:

Step1: Substitute \( n = -2 \) into the equation

Substitute \( n = -2 \) into \( 1.4n + 2 \) and \( 2n + 3.2 \) respectively.
For the left - hand side (LHS): \( 1.4\times(-2)+2=-2.8 + 2=-0.8 \)
For the right - hand side (RHS): \( 2\times(-2)+3.2=-4 + 3.2=-0.8 \)

Step2: Check the equality

After substitution, we get LHS \(=-0.8\) and RHS \(=-0.8\), so the last line of the justification is \(-0.8=-0.8\)

Answer:

\(-0.8 = -0.8\)