3(t+3)+4(3t)=-6

Solution for 3(t+3)+4(3t)=-6 equation:

Simplifying
3(t + 3) + 4(3t) = -6

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

Remove parenthesis around (3t)
9 + 3t + 4 * 3t = -6

Multiply 4 * 3
9 + 3t + 12t = -6

Combine like terms: 3t + 12t = 15t
9 + 15t = -6

Solving
9 + 15t = -6

Solving for variable 't'.

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

Add '-9' to each side of the equation.
9 + -9 + 15t = -6 + -9

Combine like terms: 9 + -9 = 0
0 + 15t = -6 + -9
15t = -6 + -9

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

Divide each side by '15'.
t = -1

Simplifying
t = -1