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

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

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

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

Combine like terms: -3t + 9t = 6t
3 + 6t = 4t + -1

Reorder the terms:
3 + 6t = -1 + 4t

Solving
3 + 6t = -1 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
3 + 6t + -4t = -1 + 4t + -4t

Combine like terms: 6t + -4t = 2t
3 + 2t = -1 + 4t + -4t

Combine like terms: 4t + -4t = 0
3 + 2t = -1 + 0
3 + 2t = -1

Add '-3' to each side of the equation.
3 + -3 + 2t = -1 + -3

Combine like terms: 3 + -3 = 0
0 + 2t = -1 + -3
2t = -1 + -3

Combine like terms: -1 + -3 = -4
2t = -4

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

Simplifying
t = -2