6(3n-8)-5(2n+7)=

Solution for 6(3n-8)-5(2n+7)= equation:

Simplifying
6(3n + -8) + -5(2n + 7) = 0

Reorder the terms:
6(-8 + 3n) + -5(2n + 7) = 0
(-8 * 6 + 3n * 6) + -5(2n + 7) = 0
(-48 + 18n) + -5(2n + 7) = 0

Reorder the terms:
-48 + 18n + -5(7 + 2n) = 0
-48 + 18n + (7 * -5 + 2n * -5) = 0
-48 + 18n + (-35 + -10n) = 0

Reorder the terms:
-48 + -35 + 18n + -10n = 0

Combine like terms: -48 + -35 = -83
-83 + 18n + -10n = 0

Combine like terms: 18n + -10n = 8n
-83 + 8n = 0

Solving
-83 + 8n = 0

Solving for variable 'n'.

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

Add '83' to each side of the equation.
-83 + 83 + 8n = 0 + 83

Combine like terms: -83 + 83 = 0
0 + 8n = 0 + 83
8n = 0 + 83

Combine like terms: 0 + 83 = 83
8n = 83

Divide each side by '8'.
n = 10.375

Simplifying
n = 10.375