12t-(4t-6)=(9t-27)

Solution for 12t-(4t-6)=(9t-27) equation:

Simplifying
12t + -1(4t + -6) = (9t + -27)

Reorder the terms:
12t + -1(-6 + 4t) = (9t + -27)
12t + (-6 * -1 + 4t * -1) = (9t + -27)
12t + (6 + -4t) = (9t + -27)

Reorder the terms:
6 + 12t + -4t = (9t + -27)

Combine like terms: 12t + -4t = 8t
6 + 8t = (9t + -27)

Reorder the terms:
6 + 8t = (-27 + 9t)

Remove parenthesis around (-27 + 9t)
6 + 8t = -27 + 9t

Solving
6 + 8t = -27 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
6 + 8t + -9t = -27 + 9t + -9t

Combine like terms: 8t + -9t = -1t
6 + -1t = -27 + 9t + -9t

Combine like terms: 9t + -9t = 0
6 + -1t = -27 + 0
6 + -1t = -27

Add '-6' to each side of the equation.
6 + -6 + -1t = -27 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = -27 + -6
-1t = -27 + -6

Combine like terms: -27 + -6 = -33
-1t = -33

Divide each side by '-1'.
t = 33

Simplifying
t = 33