-3(t-1)+8t=9t-6

Solution for -3(t-1)+8t=9t-6 equation:

Simplifying
-3(t + -1) + 8t = 9t + -6

Reorder the terms:
-3(-1 + t) + 8t = 9t + -6
(-1 * -3 + t * -3) + 8t = 9t + -6
(3 + -3t) + 8t = 9t + -6

Combine like terms: -3t + 8t = 5t
3 + 5t = 9t + -6

Reorder the terms:
3 + 5t = -6 + 9t

Solving
3 + 5t = -6 + 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.
3 + 5t + -9t = -6 + 9t + -9t

Combine like terms: 5t + -9t = -4t
3 + -4t = -6 + 9t + -9t

Combine like terms: 9t + -9t = 0
3 + -4t = -6 + 0
3 + -4t = -6

Add '-3' to each side of the equation.
3 + -3 + -4t = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -4t = -6 + -3
-4t = -6 + -3

Combine like terms: -6 + -3 = -9
-4t = -9

Divide each side by '-4'.
t = 2.25

Simplifying
t = 2.25