2(2n+2)=7(7n+9)+8

Solution for 2(2n+2)=7(7n+9)+8 equation:

Simplifying
2(2n + 2) = 7(7n + 9) + 8

Reorder the terms:
2(2 + 2n) = 7(7n + 9) + 8
(2 * 2 + 2n * 2) = 7(7n + 9) + 8
(4 + 4n) = 7(7n + 9) + 8

Reorder the terms:
4 + 4n = 7(9 + 7n) + 8
4 + 4n = (9 * 7 + 7n * 7) + 8
4 + 4n = (63 + 49n) + 8

Reorder the terms:
4 + 4n = 63 + 8 + 49n

Combine like terms: 63 + 8 = 71
4 + 4n = 71 + 49n

Solving
4 + 4n = 71 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
4 + 4n + -49n = 71 + 49n + -49n

Combine like terms: 4n + -49n = -45n
4 + -45n = 71 + 49n + -49n

Combine like terms: 49n + -49n = 0
4 + -45n = 71 + 0
4 + -45n = 71

Add '-4' to each side of the equation.
4 + -4 + -45n = 71 + -4

Combine like terms: 4 + -4 = 0
0 + -45n = 71 + -4
-45n = 71 + -4

Combine like terms: 71 + -4 = 67
-45n = 67

Divide each side by '-45'.
n = -1.488888889

Simplifying
n = -1.488888889