5t-T-6=3t-3

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Solution for 5t-T-6=3t-3 equation:


Simplifying
5t + -1T + -6 = 3t + -3

Reorder the terms:
-6 + -1T + 5t = 3t + -3

Reorder the terms:
-6 + -1T + 5t = -3 + 3t

Solving
-6 + -1T + 5t = -3 + 3t

Solving for variable 'T'.

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

Add '6' to each side of the equation.
-6 + -1T + 6 + 5t = -3 + 6 + 3t

Reorder the terms:
-6 + 6 + -1T + 5t = -3 + 6 + 3t

Combine like terms: -6 + 6 = 0
0 + -1T + 5t = -3 + 6 + 3t
-1T + 5t = -3 + 6 + 3t

Combine like terms: -3 + 6 = 3
-1T + 5t = 3 + 3t

Add '-5t' to each side of the equation.
-1T + 5t + -5t = 3 + 3t + -5t

Combine like terms: 5t + -5t = 0
-1T + 0 = 3 + 3t + -5t
-1T = 3 + 3t + -5t

Combine like terms: 3t + -5t = -2t
-1T = 3 + -2t

Divide each side by '-1'.
T = -3 + 2t

Simplifying
T = -3 + 2t

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