Question

Simplify 2(3v+9)−14−6(−5v−4)

Answer 1

To simplify the expression 2(3v+9)-14-6(-5v-4), we will apply the distributive property:

2(3v+9) = 2*3v + 2*9 = 6v + 18

Similarly, 6(-5v-4) = 6*(-5v) + 6*(-4) = -30v - 24

Now we substitute these results back into the original expression:

6v + 18 - 14 - (-30v - 24)

Next, we remove the negative sign by distributing it:

6v + 18 - 14 + 30v + 24

Now, we simplify the expression by combining like terms:

(6v + 30v) + (18 + 24) - 14

36v + 42 - 14

Combining like terms:

36v + 28

Thus, the expression 2(3v+9)-14-6(-5v-4) simplifies to 36v + 28.