6=8(s-75)-20

Solution for 6=8(s-75)-20 equation:

Simplifying
6 = 8(s + -75) + -20

Reorder the terms:
6 = 8(-75 + s) + -20
6 = (-75 * 8 + s * 8) + -20
6 = (-600 + 8s) + -20

Reorder the terms:
6 = -600 + -20 + 8s

Combine like terms: -600 + -20 = -620
6 = -620 + 8s

Solving
6 = -620 + 8s

Solving for variable 's'.

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

Add '-8s' to each side of the equation.
6 + -8s = -620 + 8s + -8s

Combine like terms: 8s + -8s = 0
6 + -8s = -620 + 0
6 + -8s = -620

Add '-6' to each side of the equation.
6 + -6 + -8s = -620 + -6

Combine like terms: 6 + -6 = 0
0 + -8s = -620 + -6
-8s = -620 + -6

Combine like terms: -620 + -6 = -626
-8s = -626

Divide each side by '-8'.
s = 78.25

Simplifying
s = 78.25