2-6t+2(3-t)=5(T-3)-3

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Solution for 2-6t+2(3-t)=5(T-3)-3 equation: 


Simplifying
2 + -6t + 2(3 + -1t) = 5(T + -3) + -3
2 + -6t + (3 * 2 + -1t * 2) = 5(T + -3) + -3
2 + -6t + (6 + -2t) = 5(T + -3) + -3

Reorder the terms:
2 + 6 + -6t + -2t = 5(T + -3) + -3

Combine like terms: 2 + 6 = 8
8 + -6t + -2t = 5(T + -3) + -3

Combine like terms: -6t + -2t = -8t
8 + -8t = 5(T + -3) + -3

Reorder the terms:
8 + -8t = 5(-3 + T) + -3
8 + -8t = (-3 * 5 + T * 5) + -3
8 + -8t = (-15 + 5T) + -3

Reorder the terms:
8 + -8t = -15 + -3 + 5T

Combine like terms: -15 + -3 = -18
8 + -8t = -18 + 5T

Solving
8 + -8t = -18 + 5T

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -8 + -8t = -18 + -8 + 5T

Combine like terms: 8 + -8 = 0
0 + -8t = -18 + -8 + 5T
-8t = -18 + -8 + 5T

Combine like terms: -18 + -8 = -26
-8t = -26 + 5T

Divide each side by '-8'.
t = 3.25 + -0.625T

Simplifying
t = 3.25 + -0.625T

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