Question

3,6 = 0,4z
4,8
33,6
2,1
z=16

d) 4n + 12,8 = 2,4(2n - 6)

Explanation:

Step1: Expand the right side

We use the distributive property \(a(b - c)=ab - ac\). Here, \(a = 2.4\), \(b = 2n\), and \(c = 6\). So, \(2.4(2n - 6)=2.4\times2n-2.4\times6 = 4.8n-14.4\). The equation becomes \(4n + 12.8=4.8n - 14.4\).

Step2: Move terms with n to one side

Subtract \(4n\) from both sides: \(4n + 12.8-4n=4.8n - 14.4-4n\), which simplifies to \(12.8 = 0.8n-14.4\).

Step3: Isolate the term with n

Add \(14.4\) to both sides: \(12.8 + 14.4=0.8n-14.4 + 14.4\), so \(27.2 = 0.8n\).

Step4: Solve for n

Divide both sides by \(0.8\): \(n=\frac{27.2}{0.8}\). Calculating this, \(27.2\div0.8 = 34\).

Answer:

\(n = 34\)