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

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

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

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

Combine like terms: 6 + 3 = 9
3 + 9t = 2(9)

Multiply 2 * 9
3 + 9t = 18

Solving
3 + 9t = 18

Solving for variable 't'.

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

Add '-3' to each side of the equation.
3 + -3 + 9t = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 9t = 18 + -3
9t = 18 + -3

Combine like terms: 18 + -3 = 15
9t = 15

Divide each side by '9'.
t = 1.666666667

Simplifying
t = 1.666666667