3(2n+1)-(2n+5)=70

Solution for 3(2n+1)-(2n+5)=70 equation:

Simplifying
3(2n + 1) + -1(2n + 5) = 70

Reorder the terms:
3(1 + 2n) + -1(2n + 5) = 70
(1 * 3 + 2n * 3) + -1(2n + 5) = 70
(3 + 6n) + -1(2n + 5) = 70

Reorder the terms:
3 + 6n + -1(5 + 2n) = 70
3 + 6n + (5 * -1 + 2n * -1) = 70
3 + 6n + (-5 + -2n) = 70

Reorder the terms:
3 + -5 + 6n + -2n = 70

Combine like terms: 3 + -5 = -2
-2 + 6n + -2n = 70

Combine like terms: 6n + -2n = 4n
-2 + 4n = 70

Solving
-2 + 4n = 70

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + 4n = 70 + 2

Combine like terms: -2 + 2 = 0
0 + 4n = 70 + 2
4n = 70 + 2

Combine like terms: 70 + 2 = 72
4n = 72

Divide each side by '4'.
n = 18

Simplifying
n = 18