What is the answer to - 7 (k+9) = 9 (k-5) - 14k

The answer to - 7 (k+9) = 9 (k-5) - 14k is

k = - 9

-7 (k+9) = 9 (k-5) - 14k

Use the distributive property to distribute the - 7 to (k+9) and 9 to (k-5)

-7 (k+9) = 9 (k-5) - 14k

-7k - 63 = 9k - 45 - 14k

Now lets get all our constants on one side of the equal sign and all our terms such as 9k and 4k on a side by their self

-7k - 63 = 9k - 45 - 14k

-7k - 63 + 45 = 9k - 45 + 45 - 14k

-7k - 18 = 9k - 14k

Now lets get that - 7k on the right side

-7k + 7k - 18 = 9k - 14k + 7k

-18 = 9k - 14k + 7k

Now lets do the math for 9k - 14k + 7k and solve for k

-18 = 9k - 14k + 7k

-18 = 2k

-18 / 2 = 2k / 2

-9 = k

k = - 9