3(3t+1)=-2(6t+3)

Solution for 3(3t+1)=-2(6t+3) equation:

Simplifying
3(3t + 1) = -2(6t + 3)

Reorder the terms:
3(1 + 3t) = -2(6t + 3)
(1 * 3 + 3t * 3) = -2(6t + 3)
(3 + 9t) = -2(6t + 3)

Reorder the terms:
3 + 9t = -2(3 + 6t)
3 + 9t = (3 * -2 + 6t * -2)
3 + 9t = (-6 + -12t)

Solving
3 + 9t = -6 + -12t

Solving for variable 't'.

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

Add '12t' to each side of the equation.
3 + 9t + 12t = -6 + -12t + 12t

Combine like terms: 9t + 12t = 21t
3 + 21t = -6 + -12t + 12t

Combine like terms: -12t + 12t = 0
3 + 21t = -6 + 0
3 + 21t = -6

Add '-3' to each side of the equation.
3 + -3 + 21t = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 21t = -6 + -3
21t = -6 + -3

Combine like terms: -6 + -3 = -9
21t = -9

Divide each side by '21'.
t = -0.4285714286

Simplifying
t = -0.4285714286