2(2t-4)-t=16-t

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Solution for 2(2t-4)-t=16-t equation:


Simplifying
2(2t + -4) + -1t = 16 + -1t

Reorder the terms:
2(-4 + 2t) + -1t = 16 + -1t
(-4 * 2 + 2t * 2) + -1t = 16 + -1t
(-8 + 4t) + -1t = 16 + -1t

Combine like terms: 4t + -1t = 3t
-8 + 3t = 16 + -1t

Solving
-8 + 3t = 16 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-8 + 3t + t = 16 + -1t + t

Combine like terms: 3t + t = 4t
-8 + 4t = 16 + -1t + t

Combine like terms: -1t + t = 0
-8 + 4t = 16 + 0
-8 + 4t = 16

Add '8' to each side of the equation.
-8 + 8 + 4t = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 4t = 16 + 8
4t = 16 + 8

Combine like terms: 16 + 8 = 24
4t = 24

Divide each side by '4'.
t = 6

Simplifying
t = 6

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