-6(4n+7)=12n

Solution for -6(4n+7)=12n equation:

Simplifying
-6(4n + 7) = 12n

Reorder the terms:
-6(7 + 4n) = 12n
(7 * -6 + 4n * -6) = 12n
(-42 + -24n) = 12n

Solving
-42 + -24n = 12n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-12n' to each side of the equation.
-42 + -24n + -12n = 12n + -12n

Combine like terms: -24n + -12n = -36n
-42 + -36n = 12n + -12n

Combine like terms: 12n + -12n = 0
-42 + -36n = 0

Add '42' to each side of the equation.
-42 + 42 + -36n = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -36n = 0 + 42
-36n = 0 + 42

Combine like terms: 0 + 42 = 42
-36n = 42

Divide each side by '-36'.
n = -1.166666667

Simplifying
n = -1.166666667