Answer:
1/9
Explanation:
1) simplify the expression
Group like terms: (2-5-3) + 1/t = 3
Simplify the arithmetic: -6+1/t=3
2) Isolate the t
Multiply to both sides by t: -6+1/t=3t
Expand the parentheses: -6t+1t/t=3t
Simplify the left side: -6t + 1 = 3t
3) Group all t terms on the left side of the equation
Subtract 3t from both sides: -6t+1-3t=3t-3t
Group like terms: -6t-3t+1=3t-3t
Simplify the arithmetic: -9t+1=3t-3t
Simplify the arithmetic: -9t+1=0t
Simplify the right side: -9t+1=0
4. Group all constants on the right side of the equation
Subtract 1 from both sides: -9t+1-1=0-1
Simplify the arithmetic: -9t=0-1
Simplify the arithmetic: -9t=-1
5. Isolate the t
Divide both sides by-9: -9t/-9=-1/-9
Cancel out the negatives: 9t/9=-1/-9
Simplify the fraction:t=-1/-9
Cancel out the negatives: t=1/9