Respuesta :

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]
  • [tex]2k = 6[/tex]

Step 3: Divide both sides by 2.

  • [tex]\frac{2k}2} = \frac{6}{2}[/tex]
  • [tex]k = 3[/tex]