7(n-4)-(6-3n)=9n

Solution for 7(n-4)-(6-3n)=9n equation:

Simplifying
7(n + -4) + -1(6 + -3n) = 9n

Reorder the terms:
7(-4 + n) + -1(6 + -3n) = 9n
(-4 * 7 + n * 7) + -1(6 + -3n) = 9n
(-28 + 7n) + -1(6 + -3n) = 9n
-28 + 7n + (6 * -1 + -3n * -1) = 9n
-28 + 7n + (-6 + 3n) = 9n

Reorder the terms:
-28 + -6 + 7n + 3n = 9n

Combine like terms: -28 + -6 = -34
-34 + 7n + 3n = 9n

Combine like terms: 7n + 3n = 10n
-34 + 10n = 9n

Solving
-34 + 10n = 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.
-34 + 10n + -9n = 9n + -9n

Combine like terms: 10n + -9n = 1n
-34 + 1n = 9n + -9n

Combine like terms: 9n + -9n = 0
-34 + 1n = 0

Add '34' to each side of the equation.
-34 + 34 + 1n = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 1n = 0 + 34
1n = 0 + 34

Combine like terms: 0 + 34 = 34
1n = 34

Divide each side by '1'.
n = 34

Simplifying
n = 34