Simplify 6(3q-4) + 18 - 12q - 7 (4q + 5)
To simplify the expression 6(3q-4) + 18 - 12q - 7(4q + 5), we can follow the order of operations (PEMDAS) and perform the operations step by step.
First, let's simplify the expressions within parentheses:
6(3q - 4) = 18q - 24
7(4q + 5) = 28q + 35
Now, let's substitute these simplified expressions back into the original expression:
18q - 24 + 18 - 12q - (28q + 35)
Next, let's combine like terms:
(18q - 12q - 28q) + (-24 + 18 - 35)
Simplifying, we have:
-22q - 41
To simplify the expression 6(3q-4) + 18 - 12q - 7(4q + 5), follow these steps:
Step 1: Distribute the 6 to the terms inside the parentheses.
6 * 3q = 18q
6 * -4 = -24
So, the expression becomes:
18q - 24 + 18 - 12q - 7(4q + 5)
Step 2: Distribute the -7 to the terms inside the parentheses.
-7 * 4q = -28q
-7 * 5 = -35
So, the expression becomes:
18q - 24 + 18 - 12q - 28q - 35
Step 3: Combine like terms.
-24 + 18 = -6
18q - 12q - 28q = -22q
So, the expression becomes:
-6 - 22q - 35
Step 4: Combine like terms again.
-6 - 35 = -41
So, the simplified expression is:
-41 - 22q
To simplify the given expression, we'll apply the distributive property and combine like terms. Let's break it down step by step:
1. Start by distributing the 6 to every term within the parentheses (3q - 4):
6 * 3q = 18q
6 * (-4) = -24
So, the expression becomes: 18q - 24 + 18 - 12q - 7(4q + 5)
2. Next, distribute the -7 to each term within the parentheses (4q + 5):
-7 * 4q = -28q
-7 * 5 = -35
Now, our expression becomes: 18q - 24 + 18 - 12q - 28q - 35
3. Combine the like terms:
(18q - 12q - 28q) = 18q - 40q = -22q
(-24 + 18 -35) = -41
Our simplified expression is:
-22q - 41
Therefore, the simplified form of 6(3q-4) + 18 - 12q - 7(4q + 5) is -22q - 41.