3(7-8n)+3(n-2)=78

Solution for 3(7-8n)+3(n-2)=78 equation:

Simplifying
3(7 + -8n) + 3(n + -2) = 78
(7 * 3 + -8n * 3) + 3(n + -2) = 78
(21 + -24n) + 3(n + -2) = 78

Reorder the terms:
21 + -24n + 3(-2 + n) = 78
21 + -24n + (-2 * 3 + n * 3) = 78
21 + -24n + (-6 + 3n) = 78

Reorder the terms:
21 + -6 + -24n + 3n = 78

Combine like terms: 21 + -6 = 15
15 + -24n + 3n = 78

Combine like terms: -24n + 3n = -21n
15 + -21n = 78

Solving
15 + -21n = 78

Solving for variable 'n'.

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

Add '-15' to each side of the equation.
15 + -15 + -21n = 78 + -15

Combine like terms: 15 + -15 = 0
0 + -21n = 78 + -15
-21n = 78 + -15

Combine like terms: 78 + -15 = 63
-21n = 63

Divide each side by '-21'.
n = -3

Simplifying
n = -3