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 ?

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 ?

Answer 1

The expression equivalent to 5+6b+12c+10b−4c−2 is obtained by combining the like terms. Grouping the terms with variable b together and combining them, we get:

(6b + 10b) + 12c - 4c + 5 - 2

Simplifying further, we have:

16b + 8c + 3

Therefore, the coefficient of the variable b in the simplest form of the equivalent expression is 16.