6(1+8n)=7n-35

Solution for 6(1+8n)=7n-35 equation:

Simplifying
6(1 + 8n) = 7n + -35
(1 * 6 + 8n * 6) = 7n + -35
(6 + 48n) = 7n + -35

Reorder the terms:
6 + 48n = -35 + 7n

Solving
6 + 48n = -35 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
6 + 48n + -7n = -35 + 7n + -7n

Combine like terms: 48n + -7n = 41n
6 + 41n = -35 + 7n + -7n

Combine like terms: 7n + -7n = 0
6 + 41n = -35 + 0
6 + 41n = -35

Add '-6' to each side of the equation.
6 + -6 + 41n = -35 + -6

Combine like terms: 6 + -6 = 0
0 + 41n = -35 + -6
41n = -35 + -6

Combine like terms: -35 + -6 = -41
41n = -41

Divide each side by '41'.
n = -1

Simplifying
n = -1