4[5(n-5)+19]-[2(2n-3)+1]=

Solution for 4[5(n-5)+19]-[2(2n-3)+1]= equation:

Simplifying
4[5(n + -5) + 19] + -1[2(2n + -3) + 1] = 0

Reorder the terms:
4[5(-5 + n) + 19] + -1[2(2n + -3) + 1] = 0
4[(-5 * 5 + n * 5) + 19] + -1[2(2n + -3) + 1] = 0
4[(-25 + 5n) + 19] + -1[2(2n + -3) + 1] = 0

Reorder the terms:
4[-25 + 19 + 5n] + -1[2(2n + -3) + 1] = 0

Combine like terms: -25 + 19 = -6
4[-6 + 5n] + -1[2(2n + -3) + 1] = 0
[-6 * 4 + 5n * 4] + -1[2(2n + -3) + 1] = 0
[-24 + 20n] + -1[2(2n + -3) + 1] = 0

Reorder the terms:
-24 + 20n + -1[2(-3 + 2n) + 1] = 0
-24 + 20n + -1[(-3 * 2 + 2n * 2) + 1] = 0
-24 + 20n + -1[(-6 + 4n) + 1] = 0

Reorder the terms:
-24 + 20n + -1[-6 + 1 + 4n] = 0

Combine like terms: -6 + 1 = -5
-24 + 20n + -1[-5 + 4n] = 0
-24 + 20n + [-5 * -1 + 4n * -1] = 0
-24 + 20n + [5 + -4n] = 0

Reorder the terms:
-24 + 5 + 20n + -4n = 0

Combine like terms: -24 + 5 = -19
-19 + 20n + -4n = 0

Combine like terms: 20n + -4n = 16n
-19 + 16n = 0

Solving
-19 + 16n = 0

Solving for variable 'n'.

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

Add '19' to each side of the equation.
-19 + 19 + 16n = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 16n = 0 + 19
16n = 0 + 19

Combine like terms: 0 + 19 = 19
16n = 19

Divide each side by '16'.
n = 1.1875

Simplifying
n = 1.1875