The difference of 9 and the quotient of a number t and 6 is 5

Assuming you are supposed to solve for the variable "t",

9 - (t : 6) = 5

Subtract 9 from both sides.

9 - 9 - (t : 6) = 5 - 9

Simplify.

- (t : 6) = - 4

Distribute - 1 throughout the parenthesis.

-t : - 6 = - 4

Multiply both sides by - 6.

-t : - 6 * - 6 = - 4 * - 6

Simplify.

-t = 24

Divide both sides by - 1.

-t : - 1 = 24 : - 1

Simplify.

t = - 24