-6+5n=-7(-6+8n)+3

Solution for -6+5n=-7(-6+8n)+3 equation:

Simplifying
-6 + 5n = -7(-6 + 8n) + 3
-6 + 5n = (-6 * -7 + 8n * -7) + 3
-6 + 5n = (42 + -56n) + 3

Reorder the terms:
-6 + 5n = 42 + 3 + -56n

Combine like terms: 42 + 3 = 45
-6 + 5n = 45 + -56n

Solving
-6 + 5n = 45 + -56n

Solving for variable 'n'.

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

Add '56n' to each side of the equation.
-6 + 5n + 56n = 45 + -56n + 56n

Combine like terms: 5n + 56n = 61n
-6 + 61n = 45 + -56n + 56n

Combine like terms: -56n + 56n = 0
-6 + 61n = 45 + 0
-6 + 61n = 45

Add '6' to each side of the equation.
-6 + 6 + 61n = 45 + 6

Combine like terms: -6 + 6 = 0
0 + 61n = 45 + 6
61n = 45 + 6

Combine like terms: 45 + 6 = 51
61n = 51

Divide each side by '61'.
n = 0.8360655738

Simplifying
n = 0.8360655738