2(6n+7)-8(n-1)=30

Solution for 2(6n+7)-8(n-1)=30 equation:

Simplifying
2(6n + 7) + -8(n + -1) = 30

Reorder the terms:
2(7 + 6n) + -8(n + -1) = 30
(7 * 2 + 6n * 2) + -8(n + -1) = 30
(14 + 12n) + -8(n + -1) = 30

Reorder the terms:
14 + 12n + -8(-1 + n) = 30
14 + 12n + (-1 * -8 + n * -8) = 30
14 + 12n + (8 + -8n) = 30

Reorder the terms:
14 + 8 + 12n + -8n = 30

Combine like terms: 14 + 8 = 22
22 + 12n + -8n = 30

Combine like terms: 12n + -8n = 4n
22 + 4n = 30

Solving
22 + 4n = 30

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + 4n = 30 + -22

Combine like terms: 22 + -22 = 0
0 + 4n = 30 + -22
4n = 30 + -22

Combine like terms: 30 + -22 = 8
4n = 8

Divide each side by '4'.
n = 2

Simplifying
n = 2