Question

7n + 25 = -2(1 - 3n)

Explanation:

Step1: Expand the right side

We use the distributive property \(a(b + c)=ab+ac\) (here \(a = - 2\), \(b=1\), \(c=-3n\)) to expand \(-2(1 - 3n)\). So \(-2(1-3n)=-2\times1+(-2)\times(-3n)=-2 + 6n\). The equation becomes \(7n+25=-2 + 6n\).

Step2: Subtract \(6n\) from both sides

Subtract \(6n\) from each side to get \(7n-6n + 25=-2+6n - 6n\). Simplifying, we have \(n + 25=-2\).

Step3: Subtract 25 from both sides

Subtract 25 from both sides: \(n+25 - 25=-2-25\). Simplifying gives \(n=-27\).

Answer:

\(n = - 27\)