-30=3(8n+2)

Solution for -30=3(8n+2) equation:

Simplifying
-30 = 3(8n + 2)

Reorder the terms:
-30 = 3(2 + 8n)
-30 = (2 * 3 + 8n * 3)
-30 = (6 + 24n)

Solving
-30 = 6 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
-30 + -24n = 6 + 24n + -24n

Combine like terms: 24n + -24n = 0
-30 + -24n = 6 + 0
-30 + -24n = 6

Add '30' to each side of the equation.
-30 + 30 + -24n = 6 + 30

Combine like terms: -30 + 30 = 0
0 + -24n = 6 + 30
-24n = 6 + 30

Combine like terms: 6 + 30 = 36
-24n = 36

Divide each side by '-24'.
n = -1.5

Simplifying
n = -1.5