3(n-1)=4(n-1.5)

Solution for 3(n-1)=4(n-1.5) equation:

Simplifying
3(n + -1) = 4(n + -1.5)

Reorder the terms:
3(-1 + n) = 4(n + -1.5)
(-1 * 3 + n * 3) = 4(n + -1.5)
(-3 + 3n) = 4(n + -1.5)

Reorder the terms:
-3 + 3n = 4(-1.5 + n)
-3 + 3n = (-1.5 * 4 + n * 4)
-3 + 3n = (-6 + 4n)

Solving
-3 + 3n = -6 + 4n

Solving for variable 'n'.

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

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

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

Combine like terms: 4n + -4n = 0
-3 + -1n = -6 + 0
-3 + -1n = -6

Add '3' to each side of the equation.
-3 + 3 + -1n = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -1n = -6 + 3
-1n = -6 + 3

Combine like terms: -6 + 3 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3