Question

1. solve each equation.

a. 100(z - 0.2) = - 10(5z + 0.8)

Explanation:

Step1: Expand both sides

Expand $100(z - 0.2)$ to get $100z-20$, and expand $-10(5z + 0.8)$ to get $-50z-8$. So the equation becomes $100z - 20=-50z - 8$.

Step2: Add $50z$ to both sides

$100z+50z - 20=-50z+50z - 8$, which simplifies to $150z - 20=-8$.

Step3: Add 20 to both sides

$150z-20 + 20=-8 + 20$, resulting in $150z = 12$.

Step4: Solve for $z$

Divide both sides by 150: $z=\frac{12}{150}=\frac{2}{25}=0.08$.

Answer:

$z = 0.08$