# How do you simplify 5t − 3(1 + t) ?

Apr 5, 2018

$2 t - 3$

Here's how I did it:

#### Explanation:

$5 t - 3 \left(1 + t\right)$

The first thing we want to do is distribute (multiply) the $- 3$ to everything in the parenthesis:
$- 3 \cdot 1 = - 3$
$- 3 \cdot t = - 3 t$

And when we combine them we get $- 3 - 3 t$. Now the expression is:
$5 t - 3 - 3 t$

Now we do $5 t - 3 t$:
$2 t - 3$ (final simplified answer)

Apr 5, 2018

Your answer is $2 t - 3$
Firstly open up the bracket $- 3 \left(1 + t\right)$ this is equal to $- 3 - 3 t$. I am sure you noticed the sign change this is because minus times plus equals minus. Your equation know is $5 t - 3 - 3 t$ which is then $5 t - 3 t - 3$. The simplification is $2 t - 3$. Hope this helps