2(ps+3)=6(3s+1)

Solution for 2(ps+3)=6(3s+1) equation:

Simplifying
2(ps + 3) = 6(3s + 1)

Reorder the terms:
2(3 + ps) = 6(3s + 1)
(3 * 2 + ps * 2) = 6(3s + 1)
(6 + 2ps) = 6(3s + 1)

Reorder the terms:
6 + 2ps = 6(1 + 3s)
6 + 2ps = (1 * 6 + 3s * 6)
6 + 2ps = (6 + 18s)

Add '-6' to each side of the equation.
6 + -6 + 2ps = 6 + -6 + 18s

Combine like terms: 6 + -6 = 0
0 + 2ps = 6 + -6 + 18s
2ps = 6 + -6 + 18s

Combine like terms: 6 + -6 = 0
2ps = 0 + 18s
2ps = 18s

Solving
2ps = 18s

Solving for variable 'p'.

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

Divide each side by '2s'.
p = 9

Simplifying
p = 9