-3(2t+9)=-57

Solution for -3(2t+9)=-57 equation:

Simplifying
-3(2t + 9) = -57

Reorder the terms:
-3(9 + 2t) = -57
(9 * -3 + 2t * -3) = -57
(-27 + -6t) = -57

Solving
-27 + -6t = -57

Solving for variable 't'.

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

Add '27' to each side of the equation.
-27 + 27 + -6t = -57 + 27

Combine like terms: -27 + 27 = 0
0 + -6t = -57 + 27
-6t = -57 + 27

Combine like terms: -57 + 27 = -30
-6t = -30

Divide each side by '-6'.
t = 5

Simplifying
t = 5