6=3(T-4.5)

Solution for 6=3(T-4.5) equation:

Simplifying
6 = 3(T + -4.5)

Reorder the terms:
6 = 3(-4.5 + T)
6 = (-4.5 * 3 + T * 3)
6 = (-13.5 + 3T)

Solving
6 = -13.5 + 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 + -3T = -13.5 + 3T + -3T

Combine like terms: 3T + -3T = 0
6 + -3T = -13.5 + 0
6 + -3T = -13.5

Add '-6' to each side of the equation.
6 + -6 + -3T = -13.5 + -6

Combine like terms: 6 + -6 = 0
0 + -3T = -13.5 + -6
-3T = -13.5 + -6

Combine like terms: -13.5 + -6 = -19.5
-3T = -19.5

Divide each side by '-3'.
T = 6.5

Simplifying
T = 6.5