Answer:
k = -3
Explanation:
Step 1: Combine like terms on the left-hand side and distribute 3 and -6 on the right-hand side:
-5k = (3 * k) + (3 * -10) + (-6 * k) + (-6 * -6)
-5k = 3k - 30 - 6k + 36
Step 2: Combine like terms on the right-hand side:
-5k = (3k - 6k) + (-30 + 36)
-5k = -3k + 6
Step 2: Add 3k to both sides:
(-5k = -3k + 6) + 3k
-2k = 6
Step 3: Divide both sides by -2 to solve for k:
(-2k = 6) / -2
k = -3
Thus, k = -3.
Optional Step 4: Check the validity of the answer by plugging in -3 for k and seeing if the equation holds true:
-(-3) - 4(-3) = 3(-3 - 10) - 6(-3 - 6)
3 + 12 = 3(-13) - 6(-9)
15 = -39 + 54
15 = 15
Thus, our answer for k is correct.