Simplify 6(3q−4)+18−12q−7(4q+5)
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 - 6 * 4 + 18 - 12q - 7(4q + 5)
Step 2: Simplify both sides of the equation:
18q - 24 + 18 - 12q - 28q - 35
Step 3: Combine like terms:
(18q - 12q - 28q) + (18 - 24 - 35)
Step 4: Continue combining like terms:
-22q - 41
The simplified expression is -22q - 41.
Simplify
To simplify the expression 6(3q - 4) + 18 - 12q - 7(4q + 5), we need to apply the distributive property and combine like terms. Let's break it down step by step:
1. Begin by distributing the 6 to the terms inside the parentheses:
6(3q - 4) becomes 18q - 24.
Now the expression becomes:
18q - 24 + 18 - 12q - 7(4q + 5)
2. Next, distribute the -7 to the terms inside the second set of parentheses:
-7(4q + 5) becomes -28q - 35.
The expression is now:
18q - 24 + 18 - 12q - 28q - 35
3. Combine the like terms:
Group the terms with q together, and the constant terms together:
(18q - 12q - 28q) + (-24 + 18 - 35)
Combine the like terms:
-22q + (-41)
The simplified expression is:
-22q - 41
So, the simplified form of 6(3q - 4) + 18 - 12q - 7(4q + 5) is -22q - 41.
By distributing and combining like terms, we have:
6(3q-4) + 18 - 12q - 7(4q+5)
= 18q - 24 + 18 - 12q - 28q - 35
= (18q - 12q - 28q) + (-24 + 18 - 35)
= -22q - 41
= -22q - 41