Simplify 6(3q-4)+18-12q-7(4q+5)
6(3q - 4) + 18 - 12q - 7(4q + 5) simplifies to:
18q - 24 + 18 - 12q - 28q - 35.
Combine like terms to get:
-10q - 41.
To simplify the expression 6(3q-4)+18-12q-7(4q+5), we can apply the distributive property and combine like terms.
Step 1: Start by applying the distributive property within each set of parentheses:
6 * 3q = 18q
6 * -4 = -24
-7 * 4q = -28q
-7 * 5 = -35
The expression becomes: 18q - 24 + 18 - 12q - 28q - 35
Step 2: Combine like terms:
18q - 12q - 28q = -22q
-24 + 18 - 35 = -41
The expression simplifies to: -22q - 41
To simplify the given 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:
Step 1: Apply the distributive property to both terms inside the parentheses on the left side of the equation.
6(3q-4) becomes 18q - 24
Step 2: Apply the distributive property to both terms inside the parentheses on the right side of the equation.
-7(4q+5) becomes -28q - 35
The expression now becomes: 18q - 24 + 18 - 12q - 28q - 35
Step 3: Group the like terms together.
Combine the terms with 'q': 18q - 12q - 28q = 18q - 40q = -22q
Combine the constant terms: -24 + 18 - 35 = -41
The simplified expression is -22q - 41.