6=8(s-34)-20

Solution for 6=8(s-34)-20 equation:

Simplifying
6 = 8(s + -34) + -20

Reorder the terms:
6 = 8(-34 + s) + -20
6 = (-34 * 8 + s * 8) + -20
6 = (-272 + 8s) + -20

Reorder the terms:
6 = -272 + -20 + 8s

Combine like terms: -272 + -20 = -292
6 = -292 + 8s

Solving
6 = -292 + 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 = -292 + 8s + -8s

Combine like terms: 8s + -8s = 0
6 + -8s = -292 + 0
6 + -8s = -292

Add '-6' to each side of the equation.
6 + -6 + -8s = -292 + -6

Combine like terms: 6 + -6 = 0
0 + -8s = -292 + -6
-8s = -292 + -6

Combine like terms: -292 + -6 = -298
-8s = -298

Divide each side by '-8'.
s = 37.25

Simplifying
s = 37.25