A wire 32 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece.

What is the length of the shorter piece?

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Let's assign a variable to the length of the shorter piece. Let's call it 'x' cm.

According to the given information, the longer piece is 6 cm longer than the shorter piece. So the length of the longer piece will be x + 6 cm.

Since the entire wire is 32 cm long, the sum of the lengths of the two pieces will be equal to the length of the wire:
x + (x + 6) = 32

Now let's solve this equation for x:
2x + 6 = 32
Subtract 6 from both sides:
2x = 26
Divide both sides by 2:
x = 13

So the length of the shorter piece is 13 cm.

To find the length of the shorter piece, let's consider the information given in the question.

Let's assume that the length of the shorter piece is x cm.

According to the given information, the longer piece is 6 cm longer than the shorter piece. So, the length of the longer piece is x + 6 cm.

The total length of the wire is 32 cm. Therefore, the equation we can set up is:

Length of the shorter piece + Length of the longer piece = Total length of the wire

x + (x + 6) = 32

Simplifying the equation, we get:

2x + 6 = 32

Subtracting 6 from both sides of the equation, we have:

2x = 26

Dividing both sides of the equation by 2, we get:

x = 13

Therefore, the length of the shorter piece is 13 cm.

Let s = shorter piece.

s + s + 6 = 32

2s = 26

s = 13