Simplify 2(3v+9)−14−6(−5v−4).(1 point)
Responses
−6v−13
negative 6 v minus 13
−24v−20
negative 24 v minus 20
106v+98
106 v plus 98
36v+28
The correct answer is −6v−13.
To simplify the expression 2(3v+9)−14−6(−5v−4), 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.
Step 2: Distribute the -6 to the terms inside the parentheses:
-6 * -5v = 30v
-6 * -4 = 24
The expression becomes: 30v + 24.
Step 3: Combine like terms. We have: 6v + 18 - 14 + 30v + 24.
Step 4: Group the like terms together: (6v + 30v) + (18 - 14 + 24) = 36v + 28.
Therefore, the simplified form of 2(3v+9)−14−6(−5v−4) is 36v + 28.
To simplify the expression 2(3v+9)−14−6(−5v−4), follow the steps below:
Step 1: Distribute 2 to the terms inside the parentheses:
2 * 3v = 6v
2 * 9 = 18
So the expression becomes: 6v + 18 − 14 − 6(−5v−4).
Step 2: Distribute -6 to the terms inside the parentheses:
-6 * -5v = 30v
-6 * -4 = 24
So the expression becomes: 6v + 18 − 14 − (30v + 24).
Step 3: Combine like terms:
6v - 30v = -24v
So the expression simplifies to -24v + 18 - 14 - 24.
Step 4: Combine constant terms:
18 - 14 - 24 = -20
So the final simplified expression is -24v - 20.