6(2s+t)-(3s-2t)=0

Solution for 6(2s+t)-(3s-2t)=0 equation:

Simplifying
6(2s + t) + -1(3s + -2t) = 0
(2s * 6 + t * 6) + -1(3s + -2t) = 0
(12s + 6t) + -1(3s + -2t) = 0
12s + 6t + (3s * -1 + -2t * -1) = 0
12s + 6t + (-3s + 2t) = 0

Reorder the terms:
12s + -3s + 6t + 2t = 0

Combine like terms: 12s + -3s = 9s
9s + 6t + 2t = 0

Combine like terms: 6t + 2t = 8t
9s + 8t = 0

Solving
9s + 8t = 0

Solving for variable 's'.

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

Add '-8t' to each side of the equation.
9s + 8t + -8t = 0 + -8t

Combine like terms: 8t + -8t = 0
9s + 0 = 0 + -8t
9s = 0 + -8t
Remove the zero:
9s = -8t

Divide each side by '9'.
s = -0.8888888889t

Simplifying
s = -0.8888888889t