-3(t-1)+9t=3t-2

Solution for -3(t-1)+9t=3t-2 equation:

Simplifying
-3(t + -1) + 9t = 3t + -2

Reorder the terms:
-3(-1 + t) + 9t = 3t + -2
(-1 * -3 + t * -3) + 9t = 3t + -2
(3 + -3t) + 9t = 3t + -2

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

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

Solving
3 + 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.
3 + 6t + -3t = -2 + 3t + -3t

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

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

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

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

Combine like terms: -2 + -3 = -5
3t = -5

Divide each side by '3'.
t = -1.666666667

Simplifying
t = -1.666666667