-4(t-1)+9t=3t-6

Solution for -4(t-1)+9t=3t-6 equation:

Simplifying
-4(t + -1) + 9t = 3t + -6

Reorder the terms:
-4(-1 + t) + 9t = 3t + -6
(-1 * -4 + t * -4) + 9t = 3t + -6
(4 + -4t) + 9t = 3t + -6

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

Reorder the terms:
4 + 5t = -6 + 3t

Solving
4 + 5t = -6 + 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.
4 + 5t + -3t = -6 + 3t + -3t

Combine like terms: 5t + -3t = 2t
4 + 2t = -6 + 3t + -3t

Combine like terms: 3t + -3t = 0
4 + 2t = -6 + 0
4 + 2t = -6

Add '-4' to each side of the equation.
4 + -4 + 2t = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 2t = -6 + -4
2t = -6 + -4

Combine like terms: -6 + -4 = -10
2t = -10

Divide each side by '2'.
t = -5

Simplifying
t = -5