-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