what value of b would make the expressions equivalent

Question

(16k+14)-(13k-2)-(8k+4) and bk+8

Answer 1

To make the expressions equivalent, we can equate them and solve for b:

(16k+14)-(13k-2)-(8k+4) = bk+8

Rearranging this equation, we get:

16k + 14 - 13k + 2 - 8k - 4 = bk + 8

Combine like terms on the left side:

(-5k + 12) = bk + 8

Comparing the coefficients of k, we can equate them:

-5 = b

Therefore, the value of b that would make the expressions equivalent is -5.