3(2n+4)=6(9n+9)+1

Solution for 3(2n+4)=6(9n+9)+1 equation:

Simplifying
3(2n + 4) = 6(9n + 9) + 1

Reorder the terms:
3(4 + 2n) = 6(9n + 9) + 1
(4 * 3 + 2n * 3) = 6(9n + 9) + 1
(12 + 6n) = 6(9n + 9) + 1

Reorder the terms:
12 + 6n = 6(9 + 9n) + 1
12 + 6n = (9 * 6 + 9n * 6) + 1
12 + 6n = (54 + 54n) + 1

Reorder the terms:
12 + 6n = 54 + 1 + 54n

Combine like terms: 54 + 1 = 55
12 + 6n = 55 + 54n

Solving
12 + 6n = 55 + 54n

Solving for variable 'n'.

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

Add '-54n' to each side of the equation.
12 + 6n + -54n = 55 + 54n + -54n

Combine like terms: 6n + -54n = -48n
12 + -48n = 55 + 54n + -54n

Combine like terms: 54n + -54n = 0
12 + -48n = 55 + 0
12 + -48n = 55

Add '-12' to each side of the equation.
12 + -12 + -48n = 55 + -12

Combine like terms: 12 + -12 = 0
0 + -48n = 55 + -12
-48n = 55 + -12

Combine like terms: 55 + -12 = 43
-48n = 43

Divide each side by '-48'.
n = -0.8958333333

Simplifying
n = -0.8958333333