3(4n-1)-2(2n-7)=51

Solution for 3(4n-1)-2(2n-7)=51 equation:

Simplifying
3(4n + -1) + -2(2n + -7) = 51

Reorder the terms:
3(-1 + 4n) + -2(2n + -7) = 51
(-1 * 3 + 4n * 3) + -2(2n + -7) = 51
(-3 + 12n) + -2(2n + -7) = 51

Reorder the terms:
-3 + 12n + -2(-7 + 2n) = 51
-3 + 12n + (-7 * -2 + 2n * -2) = 51
-3 + 12n + (14 + -4n) = 51

Reorder the terms:
-3 + 14 + 12n + -4n = 51

Combine like terms: -3 + 14 = 11
11 + 12n + -4n = 51

Combine like terms: 12n + -4n = 8n
11 + 8n = 51

Solving
11 + 8n = 51

Solving for variable 'n'.

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

Add '-11' to each side of the equation.
11 + -11 + 8n = 51 + -11

Combine like terms: 11 + -11 = 0
0 + 8n = 51 + -11
8n = 51 + -11

Combine like terms: 51 + -11 = 40
8n = 40

Divide each side by '8'.
n = 5

Simplifying
n = 5