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

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

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

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

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

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

Solving
6 + 6t = -2 + 3t

Solving for variable 't'.

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

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

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

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

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

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

Combine like terms: -2 + -6 = -8
3t = -8

Divide each side by '3'.
t = -2.666666667

Simplifying
t = -2.666666667