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

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

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

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

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

Reorder the terms:
6 + 7t = -9 + 3t

Solving
6 + 7t = -9 + 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.
6 + 7t + -3t = -9 + 3t + -3t

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

Combine like terms: 3t + -3t = 0
6 + 4t = -9 + 0
6 + 4t = -9

Add '-6' to each side of the equation.
6 + -6 + 4t = -9 + -6

Combine like terms: 6 + -6 = 0
0 + 4t = -9 + -6
4t = -9 + -6

Combine like terms: -9 + -6 = -15
4t = -15

Divide each side by '4'.
t = -3.75

Simplifying
t = -3.75