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

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

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

Reorder the terms:
-14 + -7n = 7(7n + 6)

Reorder the terms:
-14 + -7n = 7(6 + 7n)
-14 + -7n = (6 * 7 + 7n * 7)
-14 + -7n = (42 + 49n)

Solving
-14 + -7n = 42 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
-14 + -7n + -49n = 42 + 49n + -49n

Combine like terms: -7n + -49n = -56n
-14 + -56n = 42 + 49n + -49n

Combine like terms: 49n + -49n = 0
-14 + -56n = 42 + 0
-14 + -56n = 42

Add '14' to each side of the equation.
-14 + 14 + -56n = 42 + 14

Combine like terms: -14 + 14 = 0
0 + -56n = 42 + 14
-56n = 42 + 14

Combine like terms: 42 + 14 = 56
-56n = 56

Divide each side by '-56'.
n = -1

Simplifying
n = -1