3(6n-1)-2(n+3)=

Solution for 3(6n-1)-2(n+3)= equation:

Simplifying
3(6n + -1) + -2(n + 3) = 0

Reorder the terms:
3(-1 + 6n) + -2(n + 3) = 0
(-1 * 3 + 6n * 3) + -2(n + 3) = 0
(-3 + 18n) + -2(n + 3) = 0

Reorder the terms:
-3 + 18n + -2(3 + n) = 0
-3 + 18n + (3 * -2 + n * -2) = 0
-3 + 18n + (-6 + -2n) = 0

Reorder the terms:
-3 + -6 + 18n + -2n = 0

Combine like terms: -3 + -6 = -9
-9 + 18n + -2n = 0

Combine like terms: 18n + -2n = 16n
-9 + 16n = 0

Solving
-9 + 16n = 0

Solving for variable 'n'.

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

Add '9' to each side of the equation.
-9 + 9 + 16n = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 16n = 0 + 9
16n = 0 + 9

Combine like terms: 0 + 9 = 9
16n = 9

Divide each side by '16'.
n = 0.5625

Simplifying
n = 0.5625