Simplifying
7n + 6 = 4n + -9
Reorder the terms:
6 + 7n = 4n + -9
Reorder the terms:
6 + 7n = -9 + 4n
Solving
6 + 7n = -9 + 4n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-4n' to each side of the equation.
6 + 7n + -4n = -9 + 4n + -4n
Combine like terms: 7n + -4n = 3n
6 + 3n = -9 + 4n + -4n
Combine like terms: 4n + -4n = 0
6 + 3n = -9 + 0
6 + 3n = -9
Add '-6' to each side of the equation.
6 + -6 + 3n = -9 + -6
Combine like terms: 6 + -6 = 0
0 + 3n = -9 + -6
3n = -9 + -6
Combine like terms: -9 + -6 = -15
3n = -15
Divide each side by '3'.
n = -5
Simplifying
n = -5
