-6(2n-1)-8(3n+1)=-38

Solution for -6(2n-1)-8(3n+1)=-38 equation:

Simplifying
-6(2n + -1) + -8(3n + 1) = -38

Reorder the terms:
-6(-1 + 2n) + -8(3n + 1) = -38
(-1 * -6 + 2n * -6) + -8(3n + 1) = -38
(6 + -12n) + -8(3n + 1) = -38

Reorder the terms:
6 + -12n + -8(1 + 3n) = -38
6 + -12n + (1 * -8 + 3n * -8) = -38
6 + -12n + (-8 + -24n) = -38

Reorder the terms:
6 + -8 + -12n + -24n = -38

Combine like terms: 6 + -8 = -2
-2 + -12n + -24n = -38

Combine like terms: -12n + -24n = -36n
-2 + -36n = -38

Solving
-2 + -36n = -38

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + -36n = -38 + 2

Combine like terms: -2 + 2 = 0
0 + -36n = -38 + 2
-36n = -38 + 2

Combine like terms: -38 + 2 = -36
-36n = -36

Divide each side by '-36'.
n = 1

Simplifying
n = 1