I need to combine like terms. Here are a few questions that I am having trouble with.
-r - 10r
n-4-9
-4+7(1-3m)
Please help ! thank you.
-r - 10r = -11r
n-4-9 = n - 13
-4+7(1-3m) = -4 + 7 - 21m = 3 - 21m
-r-10r=-11r (because -1-10=-11)
n-4-9=n-13 (-4-9=-13)
-4+7(1-3m)=-4+7-21m=3-21m
Sure! To combine like terms, you need to simplify the expression by combining the terms that have the same variable(s) raised to the same exponent(s). Let's go through each question step by step:
1) -r - 10r:
To combine like terms, we add or subtract the coefficients of the terms with the same variable(s) and exponent(s). In this case, we have two terms with the variable 'r' and both have an exponent of 1.
Combine the coefficients of -1 and -10 for 'r':
-1r - 10r = -11r
So, the simplified expression is -11r.
2) n - 4 - 9:
In this case, the only term is 'n', and there are no other terms with the same variable or exponent to combine it with. So, the expression is already simplified.
Therefore, the simplified expression is n - 4 - 9.
3) -4 + 7(1 - 3m):
To simplify this expression, we first need to simplify the expression within the parentheses.
1 - 3m:
Since there are no terms to combine in this expression, it remains unchanged.
Now let's go back to the original expression:
-4 + 7(1 - 3m):
Next, we distribute the 7 to the terms inside the parentheses:
-4 + 7 - 21m:
Now we can combine the constant terms -4 and 7, as they have no variables:
-4 + 7 = 3
Therefore, the simplified expression is:
3 - 21m.
I hope this explanation helps! Let me know if you have any further questions.