21-3(9-2t)=3(t-1)

Solution for 21-3(9-2t)=3(t-1) equation:

Simplifying
21 + -3(9 + -2t) = 3(t + -1)
21 + (9 * -3 + -2t * -3) = 3(t + -1)
21 + (-27 + 6t) = 3(t + -1)

Combine like terms: 21 + -27 = -6
-6 + 6t = 3(t + -1)

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

Solving
-6 + 6t = -3 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
-6 + 6t + -3t = -3 + 3t + -3t

Combine like terms: 6t + -3t = 3t
-6 + 3t = -3 + 3t + -3t

Combine like terms: 3t + -3t = 0
-6 + 3t = -3 + 0
-6 + 3t = -3

Add '6' to each side of the equation.
-6 + 6 + 3t = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 3t = -3 + 6
3t = -3 + 6

Combine like terms: -3 + 6 = 3
3t = 3

Divide each side by '3'.
t = 1

Simplifying
t = 1