Question

-7(n - 2) + 2n = -5(n + 6)

Answer 1

Given the expression below

$-7(n-2)+2n=-5(n+6)$

To find n

Open the brackets

$\begin{gathered} -7(n-2)+2n=-5(n+6) \\ -7n+14+2n=-5n-30 \\ -7n+2n+14=-5n-30 \\ -5n+14=-5n-30 \end{gathered}$

Collect like terms

$\begin{gathered} -5n+14=-5n-30 \\ -5n-(-5n)=-30-14 \\ 0\ne-44 \end{gathered}$

Since, the sides are not equal,

Hence, there is no solution