7(6+5n)-7n=-8n+6

Solution for 7(6+5n)-7n=-8n+6 equation:

Simplifying
7(6 + 5n) + -7n = -8n + 6
(6 * 7 + 5n * 7) + -7n = -8n + 6
(42 + 35n) + -7n = -8n + 6

Combine like terms: 35n + -7n = 28n
42 + 28n = -8n + 6

Reorder the terms:
42 + 28n = 6 + -8n

Solving
42 + 28n = 6 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
42 + 28n + 8n = 6 + -8n + 8n

Combine like terms: 28n + 8n = 36n
42 + 36n = 6 + -8n + 8n

Combine like terms: -8n + 8n = 0
42 + 36n = 6 + 0
42 + 36n = 6

Add '-42' to each side of the equation.
42 + -42 + 36n = 6 + -42

Combine like terms: 42 + -42 = 0
0 + 36n = 6 + -42
36n = 6 + -42

Combine like terms: 6 + -42 = -36
36n = -36

Divide each side by '36'.
n = -1

Simplifying
n = -1