= (2t - 8) - 1/2(9 - 4t) + 5/2
multiply 1/2 by parentheses
= (2t - 8) + (-1/2 * 9) + (-1/2 * - 4t) + 5/2
multiply in parentheses
= 2t - 8 - 9/2 + 4/2t + 5/2
combine like terms
= 2t - 8 - 9/2 + 2t + 5/2
divide 4/2 into 2 and add to 2t
= 4t - 8 - 9/2 + 5/2
combine fractions
= 4t - 8 - 4/2
divide 4/2 into 2
= 4t - 8 - 2
= 4t - 10
ANSWER: 4t - 10
Hope this helps! :)