Simplify the expression. Show all work
5(2+t)−3(t+4)
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.