Question

Question
Generate an expression equivalent to: 5+6b+12c+10b−4c−2
. In the simplest form of the equivalent expression, what is the coefficient of variable b
?(1 point)

Answer 1

To simplify the expression \( 5 + 6b + 12c + 10b - 4c - 2 \), we can combine like terms.

1. Combine the constant terms:
\[
5 - 2 = 3
\]

2. Combine the \( b \) terms:
\[
6b + 10b = 16b
\]

3. Combine the \( c \) terms:
\[
12c - 4c = 8c
\]

Putting it all together, we get:
\[
3 + 16b + 8c
\]

Now, we can see that the expression is in the form \( 16b + 8c + 3 \).

The coefficient of variable \( b \) in the simplest form of the equivalent expression is \( 16 \).