6(9t+2)=-3(6+28)

Solution for 6(9t+2)=-3(6+28) equation:

Simplifying
6(9t + 2) = -3(6 + 28)

Reorder the terms:
6(2 + 9t) = -3(6 + 28)
(2 * 6 + 9t * 6) = -3(6 + 28)
(12 + 54t) = -3(6 + 28)

Combine like terms: 6 + 28 = 34
12 + 54t = -3(34)

Multiply -3 * 34
12 + 54t = -102

Solving
12 + 54t = -102

Solving for variable 't'.

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

Add '-12' to each side of the equation.
12 + -12 + 54t = -102 + -12

Combine like terms: 12 + -12 = 0
0 + 54t = -102 + -12
54t = -102 + -12

Combine like terms: -102 + -12 = -114
54t = -114

Divide each side by '54'.
t = -2.111111111

Simplifying
t = -2.111111111