8(2.4r-3.1s)-6(10-4.3s)=

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Solution for 8(2.4r-3.1s)-6(10-4.3s)= equation:


Simplifying
8(2.4r + -3.1s) + -6(10 + -4.3s) = 0
(2.4r * 8 + -3.1s * 8) + -6(10 + -4.3s) = 0
(19.2r + -24.8s) + -6(10 + -4.3s) = 0
19.2r + -24.8s + (10 * -6 + -4.3s * -6) = 0
19.2r + -24.8s + (-60 + 25.8s) = 0

Reorder the terms:
-60 + 19.2r + -24.8s + 25.8s = 0

Combine like terms: -24.8s + 25.8s = 1s
-60 + 19.2r + 1s = 0

Solving
-60 + 19.2r + 1s = 0

Solving for variable 'r'.

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

Add '60' to each side of the equation.
-60 + 19.2r + 60 + 1s = 0 + 60

Reorder the terms:
-60 + 60 + 19.2r + 1s = 0 + 60

Combine like terms: -60 + 60 = 0
0 + 19.2r + 1s = 0 + 60
19.2r + 1s = 0 + 60

Combine like terms: 0 + 60 = 60
19.2r + 1s = 60

Add '-1s' to each side of the equation.
19.2r + 1s + -1s = 60 + -1s

Combine like terms: 1s + -1s = 0
19.2r + 0 = 60 + -1s
19.2r = 60 + -1s

Divide each side by '19.2'.
r = 3.125 + -0.05208333333s

Simplifying
r = 3.125 + -0.05208333333s

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