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
To simplify the expression, we can combine like terms with the same variable. In this expression:
5 + 6b + 12c + 10b - 4c - 2
The terms 6b and 10b have the same variable b. We can combine them by adding their coefficients: 6b + 10b = 16b.
Simplifying further, the expression becomes:
5 + 16b + 12c - 4c - 2
Now we can combine like terms with the same variable for c. In this case, 12c and -4c have the same variable c. We can combine them by adding their coefficients: 12c - 4c = 8c.
The simplified expression is:
5 + 16b + 8c - 2
The coefficient of the variable b in the simplest form of the equivalent expression is 16.