Question

9(k-4)-7k=32-2(k+8)

Answer 1

The equation 9(k-4)-7k=32-2(k+8) is solved using the distributive property and combining like terms, resulting in the solution k = 13.

Step-by-step explanation:

The student's question involves solving a linear equation with a variable, which falls under the subject of Mathematics. To solve the equation 9(k-4)-7k=32-2(k+8), we should apply the distributive property and then combine like terms.

First, distribute the 9 and -2 into the parentheses: 9k - 36 - 7k = 32 - 2k - 16. Then, combine like terms on both sides of the equation: 2k - 36 = 16 - 2k. Next, add 2k to both sides to get the variable terms on one side: 4k - 36 = 16. After that, add 36 to both sides to isolate the term with the variable: 4k = 52. Finally, divide both sides by 4 to solve for k: k = 13.

Answer 2

k = 13

Step-by-step explanation:

1) Distribute your numbers on both sides of the equation --> 9k - 36 -7k = 32 - 2k - 16

2) Combine like terms --> 2k - 36 = 16 - 2k

3) Isolate the variable --> 4k - 36 = 16 --> 4k = 52

4) Divide to get your answer --> k = 13