(s-6)+5(s-6)=60-6

Solution for (s-6)+5(s-6)=60-6 equation:

Simplifying
(s + -6) + 5(s + -6) = 60 + -6

Reorder the terms:
(-6 + s) + 5(s + -6) = 60 + -6

Remove parenthesis around (-6 + s)
-6 + s + 5(s + -6) = 60 + -6

Reorder the terms:
-6 + s + 5(-6 + s) = 60 + -6
-6 + s + (-6 * 5 + s * 5) = 60 + -6
-6 + s + (-30 + 5s) = 60 + -6

Reorder the terms:
-6 + -30 + s + 5s = 60 + -6

Combine like terms: -6 + -30 = -36
-36 + s + 5s = 60 + -6

Combine like terms: s + 5s = 6s
-36 + 6s = 60 + -6

Combine like terms: 60 + -6 = 54
-36 + 6s = 54

Solving
-36 + 6s = 54

Solving for variable 's'.

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

Add '36' to each side of the equation.
-36 + 36 + 6s = 54 + 36

Combine like terms: -36 + 36 = 0
0 + 6s = 54 + 36
6s = 54 + 36

Combine like terms: 54 + 36 = 90
6s = 90

Divide each side by '6'.
s = 15

Simplifying
s = 15