-3(t-1)+5t=9t-4

Solution for -3(t-1)+5t=9t-4 equation:

Simplifying
-3(t + -1) + 5t = 9t + -4

Reorder the terms:
-3(-1 + t) + 5t = 9t + -4
(-1 * -3 + t * -3) + 5t = 9t + -4
(3 + -3t) + 5t = 9t + -4

Combine like terms: -3t + 5t = 2t
3 + 2t = 9t + -4

Reorder the terms:
3 + 2t = -4 + 9t

Solving
3 + 2t = -4 + 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 + 2t + -9t = -4 + 9t + -9t

Combine like terms: 2t + -9t = -7t
3 + -7t = -4 + 9t + -9t

Combine like terms: 9t + -9t = 0
3 + -7t = -4 + 0
3 + -7t = -4

Add '-3' to each side of the equation.
3 + -3 + -7t = -4 + -3

Combine like terms: 3 + -3 = 0
0 + -7t = -4 + -3
-7t = -4 + -3

Combine like terms: -4 + -3 = -7
-7t = -7

Divide each side by '-7'.
t = 1

Simplifying
t = 1