t-1ast=0.5

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Solution for t-1ast=0.5 equation: 


Simplifying
t + -1ast = 0.5

Reorder the terms:
-1ast + t = 0.5

Solving
-1ast + t = 0.5

Solving for variable 'a'.

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

Add '-1t' to each side of the equation.
-1ast + t + -1t = 0.5 + -1t

Combine like terms: t + -1t = 0
-1ast + 0 = 0.5 + -1t
-1ast = 0.5 + -1t

Divide each side by '-1st'.
a = -0.5s-1t-1 + s-1

Simplifying
a = -0.5s-1t-1 + s-1

Reorder the terms:
a = s-1 + -0.5s-1t-1

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