n(6+4)+1=n+19

Solution for n(6+4)+1=n+19 equation:

Simplifying
n(6 + 4) + 1 = n + 19

Combine like terms: 6 + 4 = 10
n(10) + 1 = n + 19

Reorder the terms for easier multiplication:
10n + 1 = n + 19

Reorder the terms:
1 + 10n = n + 19

Reorder the terms:
1 + 10n = 19 + n

Solving
1 + 10n = 19 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
1 + 10n + -1n = 19 + n + -1n

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

Combine like terms: n + -1n = 0
1 + 9n = 19 + 0
1 + 9n = 19

Add '-1' to each side of the equation.
1 + -1 + 9n = 19 + -1

Combine like terms: 1 + -1 = 0
0 + 9n = 19 + -1
9n = 19 + -1

Combine like terms: 19 + -1 = 18
9n = 18

Divide each side by '9'.
n = 2

Simplifying
n = 2