3(4t-23)-6=45

Solution for 3(4t-23)-6=45 equation:

Simplifying
3(4t + -23) + -6 = 45

Reorder the terms:
3(-23 + 4t) + -6 = 45
(-23 * 3 + 4t * 3) + -6 = 45
(-69 + 12t) + -6 = 45

Reorder the terms:
-69 + -6 + 12t = 45

Combine like terms: -69 + -6 = -75
-75 + 12t = 45

Solving
-75 + 12t = 45

Solving for variable 't'.

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

Add '75' to each side of the equation.
-75 + 75 + 12t = 45 + 75

Combine like terms: -75 + 75 = 0
0 + 12t = 45 + 75
12t = 45 + 75

Combine like terms: 45 + 75 = 120
12t = 120

Divide each side by '12'.
t = 10

Simplifying
t = 10