8n+64=15n-6

Solution for 8n+64=15n-6 equation:

Simplifying
8n + 64 = 15n + -6

Reorder the terms:
64 + 8n = 15n + -6

Reorder the terms:
64 + 8n = -6 + 15n

Solving
64 + 8n = -6 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
64 + 8n + -15n = -6 + 15n + -15n

Combine like terms: 8n + -15n = -7n
64 + -7n = -6 + 15n + -15n

Combine like terms: 15n + -15n = 0
64 + -7n = -6 + 0
64 + -7n = -6

Add '-64' to each side of the equation.
64 + -64 + -7n = -6 + -64

Combine like terms: 64 + -64 = 0
0 + -7n = -6 + -64
-7n = -6 + -64

Combine like terms: -6 + -64 = -70
-7n = -70

Divide each side by '-7'.
n = 10

Simplifying
n = 10