7(2n+6)=2+2(n+8)

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

Simplifying
7(2n + 6) = 2 + 2(n + 8)

Reorder the terms:
7(6 + 2n) = 2 + 2(n + 8)
(6 * 7 + 2n * 7) = 2 + 2(n + 8)
(42 + 14n) = 2 + 2(n + 8)

Reorder the terms:
42 + 14n = 2 + 2(8 + n)
42 + 14n = 2 + (8 * 2 + n * 2)
42 + 14n = 2 + (16 + 2n)

Combine like terms: 2 + 16 = 18
42 + 14n = 18 + 2n

Solving
42 + 14n = 18 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
42 + 14n + -2n = 18 + 2n + -2n

Combine like terms: 14n + -2n = 12n
42 + 12n = 18 + 2n + -2n

Combine like terms: 2n + -2n = 0
42 + 12n = 18 + 0
42 + 12n = 18

Add '-42' to each side of the equation.
42 + -42 + 12n = 18 + -42

Combine like terms: 42 + -42 = 0
0 + 12n = 18 + -42
12n = 18 + -42

Combine like terms: 18 + -42 = -24
12n = -24

Divide each side by '12'.
n = -2

Simplifying
n = -2