Answer:
[tex]k = 9\frac{3}{5},\: k = - 8[/tex]
Step-by-step explanation:
[tex] |5k - 4| + 2 = 46 \\ \\ \implies \: |5k - 4| = 46 - 2 \\ \\ \implies \: |5k - 4| = 44 \\ \\\implies \: 5k - 4 = \pm \: 44 \\ \\\implies \: 5k - 4 = 44 \: \: or \: \:5k - 4 = - 44 \\ \\\implies \: 5k = 44 + 4 \: \: or \: \:5k = - 44 + 4\\ \\\implies \: 5k = 48 \: \: or \: \:5k = - 40\\ \\\implies \: k = \frac{48}{5} \: \: or \: \:k = \frac{ - 40}{5} \\ \\\implies \: k = 9\frac{3}{5} \: \: or \: \:k = - 8\\ \\[/tex]
