78=-4+2(6n+5)

Solution for 78=-4+2(6n+5) equation:

Simplifying
78 = -4 + 2(6n + 5)

Reorder the terms:
78 = -4 + 2(5 + 6n)
78 = -4 + (5 * 2 + 6n * 2)
78 = -4 + (10 + 12n)

Combine like terms: -4 + 10 = 6
78 = 6 + 12n

Solving
78 = 6 + 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.
78 + -12n = 6 + 12n + -12n

Combine like terms: 12n + -12n = 0
78 + -12n = 6 + 0
78 + -12n = 6

Add '-78' to each side of the equation.
78 + -78 + -12n = 6 + -78

Combine like terms: 78 + -78 = 0
0 + -12n = 6 + -78
-12n = 6 + -78

Combine like terms: 6 + -78 = -72
-12n = -72

Divide each side by '-12'.
n = 6

Simplifying
n = 6