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

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

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

Reorder the terms:
6(-7 + n) + -4(4 + -5n) = 10n
(-7 * 6 + n * 6) + -4(4 + -5n) = 10n
(-42 + 6n) + -4(4 + -5n) = 10n
-42 + 6n + (4 * -4 + -5n * -4) = 10n
-42 + 6n + (-16 + 20n) = 10n

Reorder the terms:
-42 + -16 + 6n + 20n = 10n

Combine like terms: -42 + -16 = -58
-58 + 6n + 20n = 10n

Combine like terms: 6n + 20n = 26n
-58 + 26n = 10n

Solving
-58 + 26n = 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.
-58 + 26n + -10n = 10n + -10n

Combine like terms: 26n + -10n = 16n
-58 + 16n = 10n + -10n

Combine like terms: 10n + -10n = 0
-58 + 16n = 0

Add '58' to each side of the equation.
-58 + 58 + 16n = 0 + 58

Combine like terms: -58 + 58 = 0
0 + 16n = 0 + 58
16n = 0 + 58

Combine like terms: 0 + 58 = 58
16n = 58

Divide each side by '16'.
n = 3.625

Simplifying
n = 3.625