3(2n+1)=7(5n+5)+7

Solution for 3(2n+1)=7(5n+5)+7 equation:

Simplifying
3(2n + 1) = 7(5n + 5) + 7

Reorder the terms:
3(1 + 2n) = 7(5n + 5) + 7
(1 * 3 + 2n * 3) = 7(5n + 5) + 7
(3 + 6n) = 7(5n + 5) + 7

Reorder the terms:
3 + 6n = 7(5 + 5n) + 7
3 + 6n = (5 * 7 + 5n * 7) + 7
3 + 6n = (35 + 35n) + 7

Reorder the terms:
3 + 6n = 35 + 7 + 35n

Combine like terms: 35 + 7 = 42
3 + 6n = 42 + 35n

Solving
3 + 6n = 42 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
3 + 6n + -35n = 42 + 35n + -35n

Combine like terms: 6n + -35n = -29n
3 + -29n = 42 + 35n + -35n

Combine like terms: 35n + -35n = 0
3 + -29n = 42 + 0
3 + -29n = 42

Add '-3' to each side of the equation.
3 + -3 + -29n = 42 + -3

Combine like terms: 3 + -3 = 0
0 + -29n = 42 + -3
-29n = 42 + -3

Combine like terms: 42 + -3 = 39
-29n = 39

Divide each side by '-29'.
n = -1.344827586

Simplifying
n = -1.344827586