Simplify the expression. Show all work

Question

5(2+t)−3(t+4)

Answer 1

To simplify the expression, use the distributive property and simplify each term:

5(2 + t) - 3(t + 4)

First, distribute 5 to each term inside the parentheses:

= 5*2 + 5*t - 3(t + 4)

Simplify each term:

= 10 + 5*t - 3*t - 3*4

= 10 + 5*t - 3*t - 12

Combine like terms:

= (5*t - 3*t) + 10 - 12

= 2*t - 2

The simplified expression is 2t - 2.