-3(t-2)+9t=8t-2

Solution for -3(t-2)+9t=8t-2 equation:

Simplifying
-3(t + -2) + 9t = 8t + -2

Reorder the terms:
-3(-2 + t) + 9t = 8t + -2
(-2 * -3 + t * -3) + 9t = 8t + -2
(6 + -3t) + 9t = 8t + -2

Combine like terms: -3t + 9t = 6t
6 + 6t = 8t + -2

Reorder the terms:
6 + 6t = -2 + 8t

Solving
6 + 6t = -2 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
6 + 6t + -8t = -2 + 8t + -8t

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

Combine like terms: 8t + -8t = 0
6 + -2t = -2 + 0
6 + -2t = -2

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

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

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

Divide each side by '-2'.
t = 4

Simplifying
t = 4