9n+6=8n+13

Solution for 9n+6=8n+13 equation:

Simplifying
9n + 6 = 8n + 13

Reorder the terms:
6 + 9n = 8n + 13

Reorder the terms:
6 + 9n = 13 + 8n

Solving
6 + 9n = 13 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
6 + 9n + -8n = 13 + 8n + -8n

Combine like terms: 9n + -8n = 1n
6 + 1n = 13 + 8n + -8n

Combine like terms: 8n + -8n = 0
6 + 1n = 13 + 0
6 + 1n = 13

Add '-6' to each side of the equation.
6 + -6 + 1n = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1n = 13 + -6
1n = 13 + -6

Combine like terms: 13 + -6 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7