3t+5(8-t)=24-t

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Solution for 3t+5(8-t)=24-t equation: 


Simplifying
3t + 5(8 + -1t) = 24 + -1t
3t + (8 * 5 + -1t * 5) = 24 + -1t
3t + (40 + -5t) = 24 + -1t

Reorder the terms:
40 + 3t + -5t = 24 + -1t

Combine like terms: 3t + -5t = -2t
40 + -2t = 24 + -1t

Solving
40 + -2t = 24 + -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.
40 + -2t + t = 24 + -1t + t

Combine like terms: -2t + t = -1t
40 + -1t = 24 + -1t + t

Combine like terms: -1t + t = 0
40 + -1t = 24 + 0
40 + -1t = 24

Add '-40' to each side of the equation.
40 + -40 + -1t = 24 + -40

Combine like terms: 40 + -40 = 0
0 + -1t = 24 + -40
-1t = 24 + -40

Combine like terms: 24 + -40 = -16
-1t = -16

Divide each side by '-1'.
t = 16

Simplifying
t = 16

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