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Difficulty: EasySolving One-Variable Linear Equations

An inventory manager calculates the total number of pallets, hh, that can be stored in a warehouse section using the following linear equation:

3h+6=453h + 6 = 45

What is the value of hh?

  1. 13Answer
  2. B
    5
  3. C
    17
  4. D
    -13

Answer

The correct value for the variable is 13.
The correct value is found by performing the inverse operations in the correct order. First, subtract 6 from both sides to get 3h = 39. Then, divide both sides by 3 to find that h = 13.

Step-by-Step Solution

1
Isolate the term with the variable by subtracting 6 from both sides of the equation.
3h=45−63h = 45 - 6
3h=393h = 39
This removes the constant term from the left side, keeping the equation balanced.
2
Solve for hh by dividing both sides of the equation by 3.
h=393h = \frac{39}{3}
h=13h = 13
Dividing by the coefficient of the variable isolates hh completely.

Key Concept

Solving basic two-step linear equations by using inverse operations to isolate the variable.
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Topics

Solving One-Variable Linear Equations

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