3(a+5b)-7/2(2b-a)
combine like terms
3(a+5b)-7/2(2b-a)
3a + 15b - 7b + 7/2a
6.5a + 8b
thank you
You're welcome.
To combine like terms in the expression 3(a+5b)-7/2(2b-a), we need to simplify each term individually and then combine any like terms.
Let's start with the first term, 3(a+5b). To simplify this, we need to distribute the 3 to both "a" and "5b". Applying the distributive property, we have:
3(a+5b) = 3 * a + 3 * 5b = 3a + 15b
Next, let's simplify the second term, -7/2(2b-a). Again, we need to distribute the coefficient -7/2 to both "2b" and "-a":
-7/2(2b-a) = -7/2 * 2b - 7/2 * (-a) = -7b + 7/2a
Now that we have simplified both terms, we can combine the like terms. The like terms in this expression are 3a and -7b. Therefore, the combined expression is:
3a + 15b - 7b + 7/2a
To further simplify this expression, we can combine the like terms 3a and 7/2a:
(3a + 7/2a) + 15b - 7b
To combine these like terms, we need to find a common denominator for the coefficients of "a", which is 2. This gives us:
(6a/2 + 7/2a) + 15b - 7b = (6a + 7)/2a + 15b - 7b
Finally, the expression is simplified as:
(6a + 7)/2a + 8b