The value of j is -50
Solution:
Given that,
[tex]\frac{2}{5} \times (j + 40) = -4[/tex]
We have to solve the above equation
Use the distributive property
a(b + c) = ab + bc
From given,
[tex]\frac{2}{5} \times (j + 40) = -4\\\\\frac{2}{5}j + \frac{80}{5} = -4\\\\Simplify\\\\\frac{2}{5}j + 16 = -4[/tex]
Move the constant to other side of equation
[tex]\frac{2}{5}j = -4 - 16\\\\\frac{2}{5}j = -20\\\\Therefore\\\\j = -20 \times \frac{5}{2}\\\\Simplify\\\\j = -10 \times 5\\\\j = -50[/tex]
Thus the value of j is -50
