Simplify 2(3v+9)−14−6(−5v−4) .(1 point)%0D%0AResponses%0D%0A%0D%0A106v+98%0D%0A106 v plus 98%0D%0A%0D%0A36v+28%0D%0A36 v plus 28%0D%0A%0D%0A−24v−20%0D%0Anegative 24 v minus 20%0D%0A%0D%0A−6v−13
To simplify the expression 2(3v+9)−14−6(−5v−4), we can distribute and combine like terms:
2(3v+9)−14−6(−5v−4)
= 6v + 18 - 14 - (-30v - 24)
= 6v + 18 - 14 + 30v + 24
= (6v + 30v) + (18 - 14 + 24)
= 36v + 28
So the simplified expression is 36v + 28.
To simplify the expression 2(3v+9)−14−6(−5v−4), we will follow the order of operations (PEMDAS).
Step 1: Simplify the expressions inside parentheses:
2(3v+9) = 6v+18
-6(-5v-4) = 30v+24
The expression becomes:
6v+18 - 14 - (30v+24)
Step 2: Combine like terms
Starting with the addition and subtraction within parentheses, we have:
6v - 30v + 18 - 14 + 24
Step 3: Combine like terms again
Combining the v terms and the constant terms:
(6v - 30v) + (18 - 14 + 24)
= -24v + 28
Therefore, the simplified expression is -24v + 28.
To simplify the expression 2(3v+9)−14−6(−5v−4), we will follow the order of operations (PEMDAS/BODMAS) and simplify step by step.
Step 1: Start by simplifying the expressions inside the parentheses.
In 2(3v+9), distribute the 2 to both terms inside the parentheses:
2 * 3v = 6v
2 * 9 = 18
The expression now becomes: 6v + 18 - 14 - 6(-5v-4).
Step 2: Simplify the expressions with multiple variables.
6v - 6(-5v-4) can be simplified by distributing the -6 to both terms inside the parentheses:
-6 * -5v = 30v
-6 * -4 = 24
The expression now becomes: 6v + 18 - 14 - (30v + 24).
Step 3: Combine like terms.
Combine the constant terms (18 - 14 - 24) to get 18 - 38 = -20.
Combine the variable terms (6v - 30v) to get -24v.
The expression now becomes: -24v - 20.
So, the simplified form of 2(3v+9)−14−6(−5v−4) is -24v - 20.