8n+59=-11+2(11n+7)

Solution for 8n+59=-11+2(11n+7) equation:

Simplifying
8n + 59 = -11 + 2(11n + 7)

Reorder the terms:
59 + 8n = -11 + 2(11n + 7)

Reorder the terms:
59 + 8n = -11 + 2(7 + 11n)
59 + 8n = -11 + (7 * 2 + 11n * 2)
59 + 8n = -11 + (14 + 22n)

Combine like terms: -11 + 14 = 3
59 + 8n = 3 + 22n

Solving
59 + 8n = 3 + 22n

Solving for variable 'n'.

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

Add '-22n' to each side of the equation.
59 + 8n + -22n = 3 + 22n + -22n

Combine like terms: 8n + -22n = -14n
59 + -14n = 3 + 22n + -22n

Combine like terms: 22n + -22n = 0
59 + -14n = 3 + 0
59 + -14n = 3

Add '-59' to each side of the equation.
59 + -59 + -14n = 3 + -59

Combine like terms: 59 + -59 = 0
0 + -14n = 3 + -59
-14n = 3 + -59

Combine like terms: 3 + -59 = -56
-14n = -56

Divide each side by '-14'.
n = 4

Simplifying
n = 4