Question

8(1 - 3k) + 1 = -25 - 7k A) {3} B) {-11} C) {1} D) {2} Show your work

Answer 1

Explanation:

8 - 24k + 1 = -25 - 7k

-24k + 9 = -25 -7k

-17k + 9 = -25

-17k = -34

k = 2

answer is D

Answer 2

`\boxed{ \bold{ \huge{ \boxed{ \sf{k = 2}}}}}`

Option D is the correct option.

Explanation:

`\sf{8(1 - 3k) + 1 = - 25 - 7k}`

Distribute 8 through the parentheses

`\longrightarrow{ \sf{8 - 24k + 1 = - 25 - 7k}}`

Add the numbers : 8 and 1

`\longrightarrow{ \sf{9 - 24k = - 25 - 7k}}`

Move 7k to left hand side and change it's sign

Similarly, move 9 to right hand side and change it's sign

`\longrightarrow{ \sf{ - 24k + 7k = - 25 - 9}}`

Collect like terms

`\longrightarrow{ \sf{ - 17k = - 25 - 9}}`

Calculate

`\longrightarrow{ \sf{ - 17k = - 34}}`

Divide both sides by -17

`\longrightarrow{ \sf{ ( - 17k)/( - 17) = ( - 34)/( - 17) }}`

Calculate

`\longrightarrow{ \sf{k = 2}}`

Hope I helped!

Best regards! :D