Question

Subtract the expressions.

(- 4b + 15 – 7k) – (6 + 4b - 2k)
( - 4b + 15 – 7k) – (6 + 4b – 2k) = (Simplify your answer.)

Answer 1

To subtract the given expressions, distribute the minus across the second set of parentheses and combine like terms. This results in the cancellation of the -4b terms and simplification of constants and k terms to get 9 - 5k.

Step-by-step explanation:

To subtract the expressions (- 4b + 15 – 7k) and (6 + 4b - 2k), you need to distribute the subtraction across the terms in the second parentheses and then combine like terms.

Step 1: Distribute the minus sign across the second expression.

(- 4b + 15 – 7k) - (6 + 4b – 2k) = - 4b + 15 – 7k - 6 - 4b + 2k

Step 2: Combine like terms.

- 4b - 4b gets cancelled out, 15 – 6 equals 9, and – 7k + 2k simplifies to – 5k.

So, the simplified expression is 9 – 5k.

Answer 2

-8b - 5k + 9

Step-by-step explanation:

=(-4b + 15 - 7k) - (6 + 4b - 2k)

Taking away the brackets

=-4b + 15 - 7k - 6 - 4b + 2k

collecting like terms

=-4b - 4b - 7k + 2k + 15 - 6

= -8b - 5k + 11