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

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

Simplifying
9(t + 21) = 3(t + -2)

Reorder the terms:
9(21 + t) = 3(t + -2)
(21 * 9 + t * 9) = 3(t + -2)
(189 + 9t) = 3(t + -2)

Reorder the terms:
189 + 9t = 3(-2 + t)
189 + 9t = (-2 * 3 + t * 3)
189 + 9t = (-6 + 3t)

Solving
189 + 9t = -6 + 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.
189 + 9t + -3t = -6 + 3t + -3t

Combine like terms: 9t + -3t = 6t
189 + 6t = -6 + 3t + -3t

Combine like terms: 3t + -3t = 0
189 + 6t = -6 + 0
189 + 6t = -6

Add '-189' to each side of the equation.
189 + -189 + 6t = -6 + -189

Combine like terms: 189 + -189 = 0
0 + 6t = -6 + -189
6t = -6 + -189

Combine like terms: -6 + -189 = -195
6t = -195

Divide each side by '6'.
t = -32.5

Simplifying
t = -32.5