8(2.4r-3.1s)-6(1.5r+2.4s)=

Solution for 8(2.4r-3.1s)-6(1.5r+2.4s)= equation:

Simplifying
8(2.4r + -3.1s) + -6(1.5r + 2.4s) = 0
(2.4r * 8 + -3.1s * 8) + -6(1.5r + 2.4s) = 0
(19.2r + -24.8s) + -6(1.5r + 2.4s) = 0
19.2r + -24.8s + (1.5r * -6 + 2.4s * -6) = 0
19.2r + -24.8s + (-9r + -14.4s) = 0

Reorder the terms:
19.2r + -9r + -24.8s + -14.4s = 0

Combine like terms: 19.2r + -9r = 10.2r
10.2r + -24.8s + -14.4s = 0

Combine like terms: -24.8s + -14.4s = -39.2s
10.2r + -39.2s = 0

Solving
10.2r + -39.2s = 0

Solving for variable 'r'.

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

Add '39.2s' to each side of the equation.
10.2r + -39.2s + 39.2s = 0 + 39.2s

Combine like terms: -39.2s + 39.2s = 0.0
10.2r + 0.0 = 0 + 39.2s
10.2r = 0 + 39.2s
Remove the zero:
10.2r = 39.2s

Divide each side by '10.2'.
r = 3.843137255s

Simplifying
r = 3.843137255s