Home > Algebra > Expressions with One or More Variables

How do you simplify #8(r+7t)-4(13t+5r)#?

Answer 1

Nathan Axel

See the entire simplification process below:

Start by defining the terms inside the parenthesis:

#(8 xx r) + (8 xx 7t) - (4 xx 13t) - (4 xx 5r)#

#8r + 56t - 52t - 20r#

Next, terms that belong to groups:

#8r - 20r + 56t - 52t#

Now, blend similar terms together:

#(8 - 20)r + (56 - 52)t#

#-12r + 4t# or #4t - 12r#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Genesis Allen

To simplify the expression (8(r+7t)-4(13t+5r)), you distribute the constants and variables inside the parentheses, then combine like terms:

[8(r+7t)-4(13t+5r) = 8r + 56t - 52t - 20r]

Now, combine like terms:

[8r - 20r + 56t - 52t = (8r - 20r) + (56t - 52t)]

[= -12r + 4t]

So, the simplified expression is (-12r + 4t).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.