Question

Simplify to create an equivalent expression.
−5(1−5k)−4(2k+5)

Answer 1

The answer is 17k-25

Hope that helps!

Answer 2

17 k + -25

Explanation:

Simplify the following:

-5 (1 - 5 k) - 4 (2 k + 5)

-5 (1 - 5 k) = 25 k - 5:

25 k - 5 - 4 (2 k + 5)

-4 (2 k + 5) = -8 k - 20:

25 k + -8 k - 20 - 5

Grouping like terms, 25 k - 8 k - 20 - 5 = (25 k - 8 k) + (-5 - 20):

(25 k - 8 k) + (-5 - 20)

25 k - 8 k = 17 k:

17 k + (-5 - 20)

-5 - 20 = -25:

Answer: 17 k + -25