6(3+1)-30=3(2n-4)

Solution for 6(3+1)-30=3(2n-4) equation:

Simplifying
6(3 + 1) + -30 = 3(2n + -4)

Combine like terms: 3 + 1 = 4
6(4) + -30 = 3(2n + -4)

Multiply 6 * 4
24 + -30 = 3(2n + -4)

Combine like terms: 24 + -30 = -6
-6 = 3(2n + -4)

Reorder the terms:
-6 = 3(-4 + 2n)
-6 = (-4 * 3 + 2n * 3)
-6 = (-12 + 6n)

Solving
-6 = -12 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-6 + -6n = -12 + 6n + -6n

Combine like terms: 6n + -6n = 0
-6 + -6n = -12 + 0
-6 + -6n = -12

Add '6' to each side of the equation.
-6 + 6 + -6n = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -6n = -12 + 6
-6n = -12 + 6

Combine like terms: -12 + 6 = -6
-6n = -6

Divide each side by '-6'.
n = 1

Simplifying
n = 1