102=(s+s)+(s+6*2)+2s

Solution for 102=(s+s)+(s+6*2)+2s equation:

Simplifying
102 = (s + s) + (s + 6 * 2) + 2s

Combine like terms: s + s = 2s
102 = (2s) + (s + 6 * 2) + 2s
102 = (2s) + (s + 6 * 2) + 2s

Multiply 6 * 2
102 = (2s) + (s + 12) + 2s

Reorder the terms:
102 = (2s) + (12 + s) + 2s

Remove parenthesis around (12 + s)
102 = (2s) + 12 + s + 2s

Reorder the terms:
102 = 12 + (2s) + s + 2s

Combine like terms: (2s) + s = 3s
102 = 12 + 3s + 2s

Combine like terms: 3s + 2s = 5s
102 = 12 + 5s

Solving
102 = 12 + 5s

Solving for variable 's'.

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

Add '-5s' to each side of the equation.
102 + -5s = 12 + 5s + -5s

Combine like terms: 5s + -5s = 0
102 + -5s = 12 + 0
102 + -5s = 12

Add '-102' to each side of the equation.
102 + -102 + -5s = 12 + -102

Combine like terms: 102 + -102 = 0
0 + -5s = 12 + -102
-5s = 12 + -102

Combine like terms: 12 + -102 = -90
-5s = -90

Divide each side by '-5'.
s = 18

Simplifying
s = 18