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

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

分類: algebra 更新時間: 2026-02-03

題目

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

解題步驟

  1. Understand the question

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

  2. 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: \(h=\frac{10}{20}=\frac{1}{2}\).

  3. Final answer

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

答案

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

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

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Question Analysis

Subject mathematics
Sub Subject algebra
Education Level high school
Difficulty unspecified
Question Type calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-02-03T09:43:58

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

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