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

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

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

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

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

Reorder the terms:
2t = 3(-9 + 3t)
2t = (-9 * 3 + 3t * 3)
2t = (-27 + 9t)

Solving
2t = -27 + 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.
2t + -9t = -27 + 9t + -9t

Combine like terms: 2t + -9t = -7t
-7t = -27 + 9t + -9t

Combine like terms: 9t + -9t = 0
-7t = -27 + 0
-7t = -27

Divide each side by '-7'.
t = 3.857142857

Simplifying
t = 3.857142857