-6(-48.9s+43.2)=2(-53.1s+35.91)+31.8s

Solution for -6(-48.9s+43.2)=2(-53.1s+35.91)+31.8s equation:

Simplifying
-6(-48.9s + 43.2) = 2(-53.1s + 35.91) + 31.8s

Reorder the terms:
-6(43.2 + -48.9s) = 2(-53.1s + 35.91) + 31.8s
(43.2 * -6 + -48.9s * -6) = 2(-53.1s + 35.91) + 31.8s
(-259.2 + 293.4s) = 2(-53.1s + 35.91) + 31.8s

Reorder the terms:
-259.2 + 293.4s = 2(35.91 + -53.1s) + 31.8s
-259.2 + 293.4s = (35.91 * 2 + -53.1s * 2) + 31.8s
-259.2 + 293.4s = (71.82 + -106.2s) + 31.8s

Combine like terms: -106.2s + 31.8s = -74.4s
-259.2 + 293.4s = 71.82 + -74.4s

Solving
-259.2 + 293.4s = 71.82 + -74.4s

Solving for variable 's'.

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

Add '74.4s' to each side of the equation.
-259.2 + 293.4s + 74.4s = 71.82 + -74.4s + 74.4s

Combine like terms: 293.4s + 74.4s = 367.8s
-259.2 + 367.8s = 71.82 + -74.4s + 74.4s

Combine like terms: -74.4s + 74.4s = 0.0
-259.2 + 367.8s = 71.82 + 0.0
-259.2 + 367.8s = 71.82

Add '259.2' to each side of the equation.
-259.2 + 259.2 + 367.8s = 71.82 + 259.2

Combine like terms: -259.2 + 259.2 = 0.0
0.0 + 367.8s = 71.82 + 259.2
367.8s = 71.82 + 259.2

Combine like terms: 71.82 + 259.2 = 331.02
367.8s = 331.02

Divide each side by '367.8'.
s = 0.9

Simplifying
s = 0.9