Combine the like terms to create an equivalent expression:
\large{-5+(-5r)+10}−5+(−5r)+10
The like terms can be combined as follows:
\large{-5+(-5r)+10-5+(-5r)+10}
To combine like terms, we group the terms that have the same variable raised to the same power. In this expression, we have two terms that involve the variable "r" raised to the power of 1, which is "-5r" and "-5r".
Let's combine these two terms:
-5r + (-5r)
To add these terms, we add the coefficients (the numbers in front of the variables):
-5 - 5 = -10
So the combined term is -10r.
Now, let's rewrite the original expression with the combined term:
-5 + (-10r) + 10 - 5
Next, we can combine the constant terms -5 and 10:
-5 + (-10r) + 10 - 5 = -5 - 5 + (-10r) + 10
Simplifying further:
-5 - 5 = -10
So the final expression, with the like terms combined, is:
-10 + (-10r) + 10
To combine the like terms in the expression: \(-5+(-5r)+10 -5 + (-5r)+10\), we need to group the terms that have the same variable and then perform the addition or subtraction.
First, let's group the terms:
\(-5 + 10 - 5 + (-5r) + (-5r) + 10\)
Next, we can simplify the numerical terms:
\( (-5 + 10 - 5 + 10) + (-5r - 5r)\)
The sum of \((-5 + 10 - 5 + 10)\) simplifies to \((10 - 5) + (10 - 5) = 10 + 10 = 20\).
The sum of \((-5r - 5r)\) simplifies to \(-10r\).
Therefore, combining the like terms gives us the equivalent expression:
\(20 - 10r\).