4r-3+6s-8r-(4s-6)=

Solution for 4r-3+6s-8r-(4s-6)= equation:

Simplifying
4r + -3 + 6s + -8r + -1(4s + -6) = 0

Reorder the terms:
4r + -3 + 6s + -8r + -1(-6 + 4s) = 0
4r + -3 + 6s + -8r + (-6 * -1 + 4s * -1) = 0
4r + -3 + 6s + -8r + (6 + -4s) = 0

Reorder the terms:
-3 + 6 + 4r + -8r + 6s + -4s = 0

Combine like terms: -3 + 6 = 3
3 + 4r + -8r + 6s + -4s = 0

Combine like terms: 4r + -8r = -4r
3 + -4r + 6s + -4s = 0

Combine like terms: 6s + -4s = 2s
3 + -4r + 2s = 0

Solving
3 + -4r + 2s = 0

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 + -4r + -3 + 2s = 0 + -3

Reorder the terms:
3 + -3 + -4r + 2s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4r + 2s = 0 + -3
-4r + 2s = 0 + -3

Combine like terms: 0 + -3 = -3
-4r + 2s = -3

Add '-2s' to each side of the equation.
-4r + 2s + -2s = -3 + -2s

Combine like terms: 2s + -2s = 0
-4r + 0 = -3 + -2s
-4r = -3 + -2s

Divide each side by '-4'.
r = 0.75 + 0.5s

Simplifying
r = 0.75 + 0.5s