Simplify 2(3v+9)−14−6(−5v−4) .

Answer 1

To simplify the given expression, we distribute the coefficients across the terms within each set of parentheses:

2(3v+9)−14−6(−5v−4)

First, distribute 2 across the terms within the parentheses:

= 6v + 18 - 14 - 6(-5v - 4)

Then distribute -6 across the terms within the second set of parentheses:

= 6v + 18 - 14 + 30v + 24

Now combine like terms:

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

= 36v + 42 - 14

= 36v + 28

Therefore, 2(3v+9)−14−6(−5v−4) simplifies to 36v + 28.