9(n-5)-3(-10n+4)=

Solution for 9(n-5)-3(-10n+4)= equation:

Simplifying
9(n + -5) + -3(-10n + 4) = 0

Reorder the terms:
9(-5 + n) + -3(-10n + 4) = 0
(-5 * 9 + n * 9) + -3(-10n + 4) = 0
(-45 + 9n) + -3(-10n + 4) = 0

Reorder the terms:
-45 + 9n + -3(4 + -10n) = 0
-45 + 9n + (4 * -3 + -10n * -3) = 0
-45 + 9n + (-12 + 30n) = 0

Reorder the terms:
-45 + -12 + 9n + 30n = 0

Combine like terms: -45 + -12 = -57
-57 + 9n + 30n = 0

Combine like terms: 9n + 30n = 39n
-57 + 39n = 0

Solving
-57 + 39n = 0

Solving for variable 'n'.

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

Add '57' to each side of the equation.
-57 + 57 + 39n = 0 + 57

Combine like terms: -57 + 57 = 0
0 + 39n = 0 + 57
39n = 0 + 57

Combine like terms: 0 + 57 = 57
39n = 57

Divide each side by '39'.
n = 1.461538462

Simplifying
n = 1.461538462