Answer:
k = 3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
- [tex]-5(6k+3)-8(8-4k)=-73[/tex]
- [tex]-5(6k) + (-5)(3) + (-8)(8) + (-8)(-4k) = -73[/tex]
- [tex]-30k-15-64+32k=-73[/tex]
- [tex](-30k+32k)+(-15-64)=-73[/tex]
- [tex]2k-79=-73[/tex]
Step 2: Add 79 to both sides.
- [tex]2k - 79 + 79 = -73 + 79[/tex]
Step 3: Divide both sides by 2.
- [tex]\frac{2k}2} = \frac{6}{2}[/tex]
- [tex]k = 3[/tex]
