89=3+2(3-8n)

Solution for 89=3+2(3-8n) equation:

Simplifying
89 = 3 + 2(3 + -8n)
89 = 3 + (3 * 2 + -8n * 2)
89 = 3 + (6 + -16n)

Combine like terms: 3 + 6 = 9
89 = 9 + -16n

Solving
89 = 9 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
89 + 16n = 9 + -16n + 16n

Combine like terms: -16n + 16n = 0
89 + 16n = 9 + 0
89 + 16n = 9

Add '-89' to each side of the equation.
89 + -89 + 16n = 9 + -89

Combine like terms: 89 + -89 = 0
0 + 16n = 9 + -89
16n = 9 + -89

Combine like terms: 9 + -89 = -80
16n = -80

Divide each side by '16'.
n = -5

Simplifying
n = -5