42=3(2t-3)

Solution for 42=3(2t-3) equation:

Simplifying
42 = 3(2t + -3)

Reorder the terms:
42 = 3(-3 + 2t)
42 = (-3 * 3 + 2t * 3)
42 = (-9 + 6t)

Solving
42 = -9 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
42 + -6t = -9 + 6t + -6t

Combine like terms: 6t + -6t = 0
42 + -6t = -9 + 0
42 + -6t = -9

Add '-42' to each side of the equation.
42 + -42 + -6t = -9 + -42

Combine like terms: 42 + -42 = 0
0 + -6t = -9 + -42
-6t = -9 + -42

Combine like terms: -9 + -42 = -51
-6t = -51

Divide each side by '-6'.
t = 8.5

Simplifying
t = 8.5