6[6n-1]=7[5n-2]

Solution for 6[6n-1]=7[5n-2] equation:

Simplifying
6[6n + -1] = 7[5n + -2]

Reorder the terms:
6[-1 + 6n] = 7[5n + -2]
[-1 * 6 + 6n * 6] = 7[5n + -2]
[-6 + 36n] = 7[5n + -2]

Reorder the terms:
-6 + 36n = 7[-2 + 5n]
-6 + 36n = [-2 * 7 + 5n * 7]
-6 + 36n = [-14 + 35n]

Solving
-6 + 36n = -14 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
-6 + 36n + -35n = -14 + 35n + -35n

Combine like terms: 36n + -35n = 1n
-6 + 1n = -14 + 35n + -35n

Combine like terms: 35n + -35n = 0
-6 + 1n = -14 + 0
-6 + 1n = -14

Add '6' to each side of the equation.
-6 + 6 + 1n = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 1n = -14 + 6
1n = -14 + 6

Combine like terms: -14 + 6 = -8
1n = -8

Divide each side by '1'.
n = -8

Simplifying
n = -8