4(n-5)-(6-7n)=10n

Solution for 4(n-5)-(6-7n)=10n equation:

Simplifying
4(n + -5) + -1(6 + -7n) = 10n

Reorder the terms:
4(-5 + n) + -1(6 + -7n) = 10n
(-5 * 4 + n * 4) + -1(6 + -7n) = 10n
(-20 + 4n) + -1(6 + -7n) = 10n
-20 + 4n + (6 * -1 + -7n * -1) = 10n
-20 + 4n + (-6 + 7n) = 10n

Reorder the terms:
-20 + -6 + 4n + 7n = 10n

Combine like terms: -20 + -6 = -26
-26 + 4n + 7n = 10n

Combine like terms: 4n + 7n = 11n
-26 + 11n = 10n

Solving
-26 + 11n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-26 + 11n + -10n = 10n + -10n

Combine like terms: 11n + -10n = 1n
-26 + 1n = 10n + -10n

Combine like terms: 10n + -10n = 0
-26 + 1n = 0

Add '26' to each side of the equation.
-26 + 26 + 1n = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 1n = 0 + 26
1n = 0 + 26

Combine like terms: 0 + 26 = 26
1n = 26

Divide each side by '1'.
n = 26

Simplifying
n = 26