Question

solve \\(\frac{4}{5}k + 14 = -\frac{11}{5}k - 4\\).\\(k = -6\\)\\(k = -10\\)\\(k = -\frac{10}{3}\\)\\(k = \frac{10}{3}\\)

Explanation:

Step1: Gather k terms to left

$$\frac{4}{5}k + \frac{11}{5}k + 14 = -4$$

Step2: Combine like k terms

$$\frac{15}{5}k + 14 = -4$$
$$3k + 14 = -4$$

Step3: Isolate constant terms

$$3k = -4 - 14$$
$$3k = -18$$

Step4: Solve for k

$$k = \frac{-18}{3}$$

Answer:

$k = -6$