2(3n+3)=8(5n+9)+7

Solution for 2(3n+3)=8(5n+9)+7 equation:

Simplifying
2(3n + 3) = 8(5n + 9) + 7

Reorder the terms:
2(3 + 3n) = 8(5n + 9) + 7
(3 * 2 + 3n * 2) = 8(5n + 9) + 7
(6 + 6n) = 8(5n + 9) + 7

Reorder the terms:
6 + 6n = 8(9 + 5n) + 7
6 + 6n = (9 * 8 + 5n * 8) + 7
6 + 6n = (72 + 40n) + 7

Reorder the terms:
6 + 6n = 72 + 7 + 40n

Combine like terms: 72 + 7 = 79
6 + 6n = 79 + 40n

Solving
6 + 6n = 79 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
6 + 6n + -40n = 79 + 40n + -40n

Combine like terms: 6n + -40n = -34n
6 + -34n = 79 + 40n + -40n

Combine like terms: 40n + -40n = 0
6 + -34n = 79 + 0
6 + -34n = 79

Add '-6' to each side of the equation.
6 + -6 + -34n = 79 + -6

Combine like terms: 6 + -6 = 0
0 + -34n = 79 + -6
-34n = 79 + -6

Combine like terms: 79 + -6 = 73
-34n = 73

Divide each side by '-34'.
n = -2.147058824

Simplifying
n = -2.147058824