Question

what is the second step in solving 5.6(n+1.42)=7.8

Answer 1

To solve the equation \( 5.6(n + 1.42) = 7.8 \), the first step is typically to distribute the \( 5.6 \) on the left side. However, if you are looking for the second step after this distribution, here’s how you would continue:

1. **First step (distribute)**:
\[
5.6n + 5.6 \times 1.42 = 7.8
\]
Calculate \( 5.6 \times 1.42 \):
\[
5.6 \times 1.42 = 7.952
\]
So now the equation becomes:
\[
5.6n + 7.952 = 7.8
\]

2. **Second step (isolate the term with \( n \))**:
Subtract \( 7.952 \) from both sides:
\[
5.6n = 7.8 - 7.952
\]
Calculate the right side:
\[
7.8 - 7.952 = -0.152
\]
So now the equation simplifies to:
\[
5.6n = -0.152
\]

From here, the next step would be to solve for \( n \) by dividing both sides by \( 5.6 \).