6+19n-3=9n+71-7n

Solution for 6+19n-3=9n+71-7n equation:

Simplifying
6 + 19n + -3 = 9n + 71 + -7n

Reorder the terms:
6 + -3 + 19n = 9n + 71 + -7n

Combine like terms: 6 + -3 = 3
3 + 19n = 9n + 71 + -7n

Reorder the terms:
3 + 19n = 71 + 9n + -7n

Combine like terms: 9n + -7n = 2n
3 + 19n = 71 + 2n

Solving
3 + 19n = 71 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
3 + 19n + -2n = 71 + 2n + -2n

Combine like terms: 19n + -2n = 17n
3 + 17n = 71 + 2n + -2n

Combine like terms: 2n + -2n = 0
3 + 17n = 71 + 0
3 + 17n = 71

Add '-3' to each side of the equation.
3 + -3 + 17n = 71 + -3

Combine like terms: 3 + -3 = 0
0 + 17n = 71 + -3
17n = 71 + -3

Combine like terms: 71 + -3 = 68
17n = 68

Divide each side by '17'.
n = 4

Simplifying
n = 4