(10n+6)-(13n+3)=

Solution for (10n+6)-(13n+3)= equation:

Simplifying
(10n + 6) + -1(13n + 3) = 0

Reorder the terms:
(6 + 10n) + -1(13n + 3) = 0

Remove parenthesis around (6 + 10n)
6 + 10n + -1(13n + 3) = 0

Reorder the terms:
6 + 10n + -1(3 + 13n) = 0
6 + 10n + (3 * -1 + 13n * -1) = 0
6 + 10n + (-3 + -13n) = 0

Reorder the terms:
6 + -3 + 10n + -13n = 0

Combine like terms: 6 + -3 = 3
3 + 10n + -13n = 0

Combine like terms: 10n + -13n = -3n
3 + -3n = 0

Solving
3 + -3n = 0

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + -3n = 0 + -3

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

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

Divide each side by '-3'.
n = 1

Simplifying
n = 1