Question

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-9(2 - 3h) = 47h -28

Explanation:

Step1: Expand the left side

Using the distributive property \(a(b - c)=ab - ac\), we have \(-9\times2-(-9)\times3h=-18 + 27h\). So the equation becomes \(-18 + 27h=47h-28\).

Step2: Move terms with h to one side

Subtract \(27h\) from both sides: \(-18+27h - 27h=47h-28 - 27h\), which simplifies to \(-18 = 20h-28\).

Step3: Solve for h

Add 28 to both sides: \(-18 + 28=20h-28 + 28\), so \(10 = 20h\). Then divide both sides by 20: \(h=\frac{10}{20}=\frac{1}{2}\).

Answer:

\(h = \frac{1}{2}\)