Question

solve for n.
7 - 3n = -2n
n =

Explanation:

Step1: Add \(3n\) to both sides

To isolate the variable terms, we add \(3n\) to each side of the equation \(7 - 3n=-2n\). This gives us \(7 - 3n+3n=-2n + 3n\). Simplifying both sides, the \(-3n\) and \(+3n\) on the left cancel out, and on the right we have \(-2n+3n = n\). So the equation becomes \(7=n\).

Step2: Verify the solution (optional)

Substitute \(n = 7\) back into the original equation: Left side: \(7-3\times7=7 - 21=-14\). Right side: \(-2\times7=-14\). Both sides are equal, so the solution is correct.

Answer:

\(7\)