To solve the equation [tex]\(5n = 2n - 21\)[/tex], we will follow these steps:
1. Rewrite the equation:
[tex]\[ 5n = 2n - 21 \][/tex]
2. Move all terms involving [tex]\(n\)[/tex] to one side of the equation:
Subtract [tex]\(2n\)[/tex] from both sides to combine like terms:
[tex]\[ 5n - 2n = -21 \][/tex]
This simplifies to:
[tex]\[ 3n = -21 \][/tex]
3. Solve for [tex]\(n\)[/tex] by isolating the variable:
Divide both sides of the equation by 3:
[tex]\[ n = \frac{-21}{3} \][/tex]
4. Simplify the fraction:
[tex]\[ n = -7 \][/tex]
So, the correct solution is:
[tex]\[ n = -7 \][/tex]
