simplify 6 (3q - 4) + 18 - 12q - 7 (4q + 5)
2 more, simplify -5 + 3/4 (8h + 12) - 10h
To simplify the expression -5 + 3/4 (8h + 12) - 10h, we will distribute the fraction and combine like terms.
First, we distribute 3/4 to both terms inside the parentheses:
(3/4) * 8h = 6h
(3/4) * 12 = 9
So, the expression becomes -5 + 6h + 9 - 10h.
Next, we combine like terms by adding or subtracting coefficients of the same variable:
6h - 10h = -4h
Finally, we combine the constant terms:
-5 + 9 = 4
So, the simplified expression is -4h + 4.
last one: factor 24n - 32 using the GCF
To factor the expression 24n - 32 using the greatest common factor (GCF), we first identify the GCF of the two terms, which in this case is 8.
Next, we divide each term by the GCF:
24n / 8 = 3n
32 / 8 = 4
So, the expression becomes 8(3n - 4).
Therefore, the factored form of 24n - 32 using the GCF is 8(3n - 4).
To simplify the expression 6(3q - 4) + 18 - 12q - 7(4q + 5), we can distribute the coefficients and combine like terms.
Starting with the first term, we distribute 6 to both terms inside the parentheses:
6 * 3q = 18q
6 * -4 = -24
So, the first term becomes 18q - 24.
Moving on to the second term, 7 * 4q = 28q
7 * 5 = 35
So, the second term becomes 28q + 35.
Finally, combining like terms, we add the resulting terms together:
18q - 24 + 18 - 12q - 28q - 35
Grouping the like terms:
(18q - 12q - 28q) + (-24 + 18 - 35)
Combining like terms:
(-22q) + (-41)
The simplified expression is -22q - 41.