Hey there!
42 = -8(3 - k) + 6(k - 3)
-8(3 - k) + 6(k - 3) = 42
-8(3 - 1k) + 6(1k - 3) = 42
-8(3) - 8(-1k) + 6(1k) + 6(-3) = 42
-24 + 8k + 6k - 18 = 42
COMBINE the LIKE TERMS
(8k + 6k) + (-24 - 18) = 42
8k + 6k - 24 - 18 = 42
14k - 42 = 42
ADD 42 to BOTH SIDES
14k - 42 + 42 = 42 + 42
SIMPLIFY IT!
14k = 42 + 42
14k = 84
DIVIDE 14 to BOTH SIDES
14k/14 = 84/14
SIMPLIFY IT!
k = 84/14
k = 6
Therefore, the answer is: k = 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)