Question

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

Answer 1

Answer:

Step-by-step explanation:

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

-24k + 9 = -25 -7k

-17k + 9 = -25

-17k = -34

k = 2

answer is D

Answer 2

Answer:

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

Option D is the correct option.

Step-by-step 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

$\longrightarrow{ \sf{ \frac{ - 17k}{ - 17} = \frac{ - 34}{ - 17} }}$

Calculate

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

Hope I helped!

Best regards! :D