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

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

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

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

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

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

Solving
9 + -1t = 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 + -1t + 3t = 3 + -3t + 3t

Combine like terms: -1t + 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 = -6
2t = -6

Divide each side by '2'.
t = -3

Simplifying
t = -3