Question

0.6 (10n + 25) = 10 + 5n
n = -15
n = -5
n = 5
n = 15

Explanation:

Step1: Expand the left - hand side

$0.6\times(10n + 25)=0.6\times10n+0.6\times25 = 6n+15$
So the equation becomes $6n + 15=10 + 5n$.

Step2: Move the terms with $n$ to one side

Subtract $5n$ from both sides: $6n-5n+15=10 + 5n-5n$.
This simplifies to $n+15 = 10$.

Step3: Solve for $n$

Subtract 15 from both sides: $n+15-15=10 - 15$.
We get $n=-5$.

Answer:

$n=-5$