8n-9(n+1)=10

Solution for 8n-9(n+1)=10 equation:

Simplifying
8n + -9(n + 1) = 10

Reorder the terms:
8n + -9(1 + n) = 10
8n + (1 * -9 + n * -9) = 10
8n + (-9 + -9n) = 10

Reorder the terms:
-9 + 8n + -9n = 10

Combine like terms: 8n + -9n = -1n
-9 + -1n = 10

Solving
-9 + -1n = 10

Solving for variable 'n'.

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

Add '9' to each side of the equation.
-9 + 9 + -1n = 10 + 9

Combine like terms: -9 + 9 = 0
0 + -1n = 10 + 9
-1n = 10 + 9

Combine like terms: 10 + 9 = 19
-1n = 19

Divide each side by '-1'.
n = -19

Simplifying
n = -19