-6+4n-8n+9=-7(1-7n)-(3n-10)

Solution for -6+4n-8n+9=-7(1-7n)-(3n-10) equation:

Simplifying
-6 + 4n + -8n + 9 = -7(1 + -7n) + -1(3n + -10)

Reorder the terms:
-6 + 9 + 4n + -8n = -7(1 + -7n) + -1(3n + -10)

Combine like terms: -6 + 9 = 3
3 + 4n + -8n = -7(1 + -7n) + -1(3n + -10)

Combine like terms: 4n + -8n = -4n
3 + -4n = -7(1 + -7n) + -1(3n + -10)
3 + -4n = (1 * -7 + -7n * -7) + -1(3n + -10)
3 + -4n = (-7 + 49n) + -1(3n + -10)

Reorder the terms:
3 + -4n = -7 + 49n + -1(-10 + 3n)
3 + -4n = -7 + 49n + (-10 * -1 + 3n * -1)
3 + -4n = -7 + 49n + (10 + -3n)

Reorder the terms:
3 + -4n = -7 + 10 + 49n + -3n

Combine like terms: -7 + 10 = 3
3 + -4n = 3 + 49n + -3n

Combine like terms: 49n + -3n = 46n
3 + -4n = 3 + 46n

Add '-3' to each side of the equation.
3 + -3 + -4n = 3 + -3 + 46n

Combine like terms: 3 + -3 = 0
0 + -4n = 3 + -3 + 46n
-4n = 3 + -3 + 46n

Combine like terms: 3 + -3 = 0
-4n = 0 + 46n
-4n = 46n

Solving
-4n = 46n

Solving for variable 'n'.

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

Add '-46n' to each side of the equation.
-4n + -46n = 46n + -46n

Combine like terms: -4n + -46n = -50n
-50n = 46n + -46n

Combine like terms: 46n + -46n = 0
-50n = 0

Divide each side by '-50'.
n = 0.0

Simplifying
n = 0.0