-6(2n+7)=14n

Solution for -6(2n+7)=14n equation:

Simplifying
-6(2n + 7) = 14n

Reorder the terms:
-6(7 + 2n) = 14n
(7 * -6 + 2n * -6) = 14n
(-42 + -12n) = 14n

Solving
-42 + -12n = 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
-42 + -12n + -14n = 14n + -14n

Combine like terms: -12n + -14n = -26n
-42 + -26n = 14n + -14n

Combine like terms: 14n + -14n = 0
-42 + -26n = 0

Add '42' to each side of the equation.
-42 + 42 + -26n = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -26n = 0 + 42
-26n = 0 + 42

Combine like terms: 0 + 42 = 42
-26n = 42

Divide each side by '-26'.
n = -1.615384615

Simplifying
n = -1.615384615