Simplify 2(3v+9)−14−6(−5v−4).(1 point)
Responses
106v+98
106 v plus 98
−24v−20
negative 24 v minus 20
36v+28
36 v plus 28
−6v−13
negative 6 v minus 13
The correct answer is -6v-13.
To simplify the expression 2(3v+9)−14−6(−5v−4), you can follow these steps:
Step 1: Distribute the 2 to the terms inside the parentheses:
2 * 3v = 6v
2 * 9 = 18
The expression becomes: 6v + 18 - 14 - 6(-5v-4)
Step 2: Distribute the -6 to the terms inside the parentheses:
-6 * -5v = 30v
-6 * -4 = 24
The expression becomes: 6v + 18 - 14 - 30v - 24
Step 3: Combine like terms:
6v - 30v = -24v
18 - 14 - 24 = -20
The simplified expression is: -24v - 20
To simplify the expression 2(3v + 9) - 14 - 6(-5v - 4), you need to follow the order of operations (PEMDAS/BODMAS).
Step 1: Simplify the expressions within the parentheses first.
The expression within the first set of parentheses, 3v + 9, cannot be simplified further.
The expression within the second set of parentheses, -5v - 4, needs to be multiplied by -6.
Multiplying -6 with -5v gives 30v, and multiplying -6 with -4 gives 24.
Now we have: 2(3v + 9) - 14 - 30v - 24.
Step 2: Distribute the 2 to the terms within the parentheses.
Multiplying 2 with 3v gives 6v, and multiplying 2 with 9 gives 18.
Now we have: 6v + 18 - 14 - 30v - 24.
Step 3: Combine like terms.
We have 6v and -30v, which can be combined to give -24v.
We also have 18, -14, and -24, which can be combined to give -20.
Now we have: -24v - 20.
Therefore, the simplified expression is -24v - 20.