4(0.75n+1)=5-2(n-0.50)

Solution for 4(0.75n+1)=5-2(n-0.50) equation:

Simplifying
4(0.75n + 1) = 5 + -2(n + -0.50)

Reorder the terms:
4(1 + 0.75n) = 5 + -2(n + -0.50)
(1 * 4 + 0.75n * 4) = 5 + -2(n + -0.50)
(4 + 3n) = 5 + -2(n + -0.50)

Reorder the terms:
4 + 3n = 5 + -2(-0.50 + n)
4 + 3n = 5 + (-0.50 * -2 + n * -2)
4 + 3n = 5 + (1 + -2n)

Combine like terms: 5 + 1 = 6
4 + 3n = 6 + -2n

Solving
4 + 3n = 6 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
4 + 3n + 2n = 6 + -2n + 2n

Combine like terms: 3n + 2n = 5n
4 + 5n = 6 + -2n + 2n

Combine like terms: -2n + 2n = 0
4 + 5n = 6 + 0
4 + 5n = 6

Add '-4' to each side of the equation.
4 + -4 + 5n = 6 + -4

Combine like terms: 4 + -4 = 0
0 + 5n = 6 + -4
5n = 6 + -4

Combine like terms: 6 + -4 = 2
5n = 2

Divide each side by '5'.
n = 0.4

Simplifying
n = 0.4