40+6n=2+8(5n-8)

Solution for 40+6n=2+8(5n-8) equation:

Simplifying
40 + 6n = 2 + 8(5n + -8)

Reorder the terms:
40 + 6n = 2 + 8(-8 + 5n)
40 + 6n = 2 + (-8 * 8 + 5n * 8)
40 + 6n = 2 + (-64 + 40n)

Combine like terms: 2 + -64 = -62
40 + 6n = -62 + 40n

Solving
40 + 6n = -62 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
40 + 6n + -40n = -62 + 40n + -40n

Combine like terms: 6n + -40n = -34n
40 + -34n = -62 + 40n + -40n

Combine like terms: 40n + -40n = 0
40 + -34n = -62 + 0
40 + -34n = -62

Add '-40' to each side of the equation.
40 + -40 + -34n = -62 + -40

Combine like terms: 40 + -40 = 0
0 + -34n = -62 + -40
-34n = -62 + -40

Combine like terms: -62 + -40 = -102
-34n = -102

Divide each side by '-34'.
n = 3

Simplifying
n = 3