-2(t-3)+9t=4t-3

Solution for -2(t-3)+9t=4t-3 equation:

Simplifying
-2(t + -3) + 9t = 4t + -3

Reorder the terms:
-2(-3 + t) + 9t = 4t + -3
(-3 * -2 + t * -2) + 9t = 4t + -3
(6 + -2t) + 9t = 4t + -3

Combine like terms: -2t + 9t = 7t
6 + 7t = 4t + -3

Reorder the terms:
6 + 7t = -3 + 4t

Solving
6 + 7t = -3 + 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.
6 + 7t + -4t = -3 + 4t + -4t

Combine like terms: 7t + -4t = 3t
6 + 3t = -3 + 4t + -4t

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

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

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

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

Divide each side by '3'.
t = -3

Simplifying
t = -3