6+t+3=3(t-1)

Solution for 6+t+3=3(t-1) equation:

Simplifying
6 + t + 3 = 3(t + -1)

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

Combine like terms: 6 + 3 = 9
9 + t = 3(t + -1)

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

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

Combine like terms: t + -3t = -2t
9 + -2t = -3 + 3t + -3t

Combine like terms: 3t + -3t = 0
9 + -2t = -3 + 0
9 + -2t = -3

Add '-9' to each side of the equation.
9 + -9 + -2t = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -2t = -3 + -9
-2t = -3 + -9

Combine like terms: -3 + -9 = -12
-2t = -12

Divide each side by '-2'.
t = 6

Simplifying
t = 6