Question

35) -5(6k + 3) - 8(8-4k) = -73

Answer 1

k = 3

Explanation:

Step 1: Simplify both sides of the equation.

• 
  `-5(6k+3)-8(8-4k)=-73`
• 
  `-5(6k) + (-5)(3) + (-8)(8) + (-8)(-4k) = -73`
• 
  `-30k-15-64+32k=-73`
• 
  `(-30k+32k)+(-15-64)=-73`
• 
  `2k-79=-73`

Step 2: Add 79 to both sides.

• 
  `2k - 79 + 79 = -73 + 79`

• 
  `2k = 6`

Step 3: Divide both sides by 2.

• 
  `\frac{2k}2} = (6)/(2)`
• 
  `k = 3`