-3(t-2)+6t=9t-2

Solution for -3(t-2)+6t=9t-2 equation:

Simplifying
-3(t + -2) + 6t = 9t + -2

Reorder the terms:
-3(-2 + t) + 6t = 9t + -2
(-2 * -3 + t * -3) + 6t = 9t + -2
(6 + -3t) + 6t = 9t + -2

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

Reorder the terms:
6 + 3t = -2 + 9t

Solving
6 + 3t = -2 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
6 + 3t + -9t = -2 + 9t + -9t

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

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

Add '-6' to each side of the equation.
6 + -6 + -6t = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -6t = -2 + -6
-6t = -2 + -6

Combine like terms: -2 + -6 = -8
-6t = -8

Divide each side by '-6'.
t = 1.333333333

Simplifying
t = 1.333333333