4.5r-2r+3(r-1)=10.75

Solution for 4.5r-2r+3(r-1)=10.75 equation:

Simplifying
4.5r + -2r + 3(r + -1) = 10.75

Reorder the terms:
4.5r + -2r + 3(-1 + r) = 10.75
4.5r + -2r + (-1 * 3 + r * 3) = 10.75
4.5r + -2r + (-3 + 3r) = 10.75

Reorder the terms:
-3 + 4.5r + -2r + 3r = 10.75

Combine like terms: 4.5r + -2r = 2.5r
-3 + 2.5r + 3r = 10.75

Combine like terms: 2.5r + 3r = 5.5r
-3 + 5.5r = 10.75

Solving
-3 + 5.5r = 10.75

Solving for variable 'r'.

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

Add '3' to each side of the equation.
-3 + 3 + 5.5r = 10.75 + 3

Combine like terms: -3 + 3 = 0
0 + 5.5r = 10.75 + 3
5.5r = 10.75 + 3

Combine like terms: 10.75 + 3 = 13.75
5.5r = 13.75

Divide each side by '5.5'.
r = 2.5

Simplifying
r = 2.5