3(2n+2)=7(9n+9)+2

Solution for 3(2n+2)=7(9n+9)+2 equation:

Simplifying
3(2n + 2) = 7(9n + 9) + 2

Reorder the terms:
3(2 + 2n) = 7(9n + 9) + 2
(2 * 3 + 2n * 3) = 7(9n + 9) + 2
(6 + 6n) = 7(9n + 9) + 2

Reorder the terms:
6 + 6n = 7(9 + 9n) + 2
6 + 6n = (9 * 7 + 9n * 7) + 2
6 + 6n = (63 + 63n) + 2

Reorder the terms:
6 + 6n = 63 + 2 + 63n

Combine like terms: 63 + 2 = 65
6 + 6n = 65 + 63n

Solving
6 + 6n = 65 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
6 + 6n + -63n = 65 + 63n + -63n

Combine like terms: 6n + -63n = -57n
6 + -57n = 65 + 63n + -63n

Combine like terms: 63n + -63n = 0
6 + -57n = 65 + 0
6 + -57n = 65

Add '-6' to each side of the equation.
6 + -6 + -57n = 65 + -6

Combine like terms: 6 + -6 = 0
0 + -57n = 65 + -6
-57n = 65 + -6

Combine like terms: 65 + -6 = 59
-57n = 59

Divide each side by '-57'.
n = -1.035087719

Simplifying
n = -1.035087719