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

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

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

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

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

Combine like terms: 4.5 + -3 = 1.5
1.5 + -2r + 3r = 10.75

Combine like terms: -2r + 3r = 1r
1.5 + 1r = 10.75

Solving
1.5 + 1r = 10.75

Solving for variable 'r'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 1r = 10.75 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1r = 10.75 + -1.5
1r = 10.75 + -1.5

Combine like terms: 10.75 + -1.5 = 9.25
1r = 9.25

Divide each side by '1'.
r = 9.25

Simplifying
r = 9.25