Solve for the value of $n$ that makes the equation $6 n-2(4 n+7)+4=-2$ true.

STEP 1

Assumptions1. The equation is $6n -(4n +7) +4 = -$ . We looking for the value of that makes the equation true3. The possible values ofn$ are $-$, $-4$, , and $6$
First, we need simplify the equation. We can this by distributing the $$ to the terms inside parentheses.
$$6n -(4n +) +4 = -$$$$6n -*4n -*7 +4 -$$Now, simplify the multiplication$$6n -8 -14 +4 -$$4Combine like terms.
-n -10 -$$Next, we need isolate $n$ on one of the equation. We can this by adding $10$ both sides of the equation.
-n - +10 = -10$$implify the equation.
-n =87Finally, to solve for $n$, divide both sides of the equation by-$.
$$n =8 / -$$8Calculate the of $n$.
$$n = -4$$The value of $n$ that makes equation true is $-4$.