Simplify 2(3v+9) - 14 - 6(-5v - 4
36V + 28
106V + 98
-6V - 13
-24V - 20
What the correct answer
The correct answer is -6v - 13.
To simplify the expression 2(3v+9) - 14 - 6(-5v-4), we can start by distributing 2 to the terms inside the parentheses:
2 * 3v = 6v
2 * 9 = 18
So the expression becomes:
6v + 18 - 14 - 6(-5v-4)
Next, we distribute -6 to the terms inside the other parentheses:
-6 * -5v = 30v
-6 * -4 = 24
Substituting these values into the expression, we get:
6v + 18 - 14 - 30v - 24
Now, we can combine like terms:
6v - 30v = -24v
18 - 14 - 24 = -20
Therefore, the simplified expression is:
-24v - 20.
To simplify the expression 2(3v + 9) - 14 - 6(-5v - 4), we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).
First, let's simplify within the parentheses:
3v + 9 can't be simplified further, so we leave it as is.
Next, let's distribute the 2 to each term inside the parentheses:
2(3v + 9) becomes 6v + 18.
Now, let's simplify within the second pair of parentheses:
-5v - 4 can't be simplified further, so we leave it as is.
Next, let's distribute the -6 to each term inside the parentheses:
-6(-5v - 4) becomes 30v + 24.
Now, let's rewrite the original expression with the simplified terms:
6v + 18 - 14 - 30v - 24.
When simplifying, we combine like terms. In this case, we have the terms with v together and the constant terms (numbers without v) together.
Combining the v terms:
6v - 30v simplifies to -24v.
Combining the constant terms:
18 - 14 - 24 simplifies to -20.
Putting it all together, the simplified expression is:
-24v - 20.
Therefore, the correct answer is -24V - 20.