Simplifying
5n + 7 = 7(n + 1) + 2n
Reorder the terms:
7 + 5n = 7(n + 1) + 2n
Reorder the terms:
7 + 5n = 7(1 + n) + 2n
7 + 5n = (1 * 7 + n * 7) + 2n
7 + 5n = (7 + 7n) + 2n
Combine like terms: 7n + 2n = 9n
7 + 5n = 7 + 9n
Add '-7' to each side of the equation.
7 + -7 + 5n = 7 + -7 + 9n
Combine like terms: 7 + -7 = 0
0 + 5n = 7 + -7 + 9n
5n = 7 + -7 + 9n
Combine like terms: 7 + -7 = 0
5n = 0 + 9n
5n = 9n
Solving
5n = 9n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-9n' to each side of the equation.
5n + -9n = 9n + -9n
Combine like terms: 5n + -9n = -4n
-4n = 9n + -9n
Combine like terms: 9n + -9n = 0
-4n = 0
Divide each side by '-4'.
n = 0
Simplifying
n = 0
