6(n+10)-7(3-7n)=

Solution for 6(n+10)-7(3-7n)= equation:

Simplifying
6(n + 10) + -7(3 + -7n) = 0

Reorder the terms:
6(10 + n) + -7(3 + -7n) = 0
(10 * 6 + n * 6) + -7(3 + -7n) = 0
(60 + 6n) + -7(3 + -7n) = 0
60 + 6n + (3 * -7 + -7n * -7) = 0
60 + 6n + (-21 + 49n) = 0

Reorder the terms:
60 + -21 + 6n + 49n = 0

Combine like terms: 60 + -21 = 39
39 + 6n + 49n = 0

Combine like terms: 6n + 49n = 55n
39 + 55n = 0

Solving
39 + 55n = 0

Solving for variable 'n'.

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

Add '-39' to each side of the equation.
39 + -39 + 55n = 0 + -39

Combine like terms: 39 + -39 = 0
0 + 55n = 0 + -39
55n = 0 + -39

Combine like terms: 0 + -39 = -39
55n = -39

Divide each side by '55'.
n = -0.7090909091

Simplifying
n = -0.7090909091