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Zorluk: KolaySolving One-Variable Linear Equations

Calculate the unknown value in the given equation:

5n−15=20 5n - 15 = 20

What is the value of nn?

  1. A
    1
  2. B
    -2
  3. 7Cevap
  4. D
    -7

Cevap

7
To solve for n, the constant -15 must be canceled out by adding 15 to both sides, which results in 5n = 35. Then, dividing both sides by the coefficient 5 isolates n, giving the correct value of 7.

Adım Adım Çözüm

1
Add 15 to both sides of the equation.
5n−15+15=20+15 5n - 15 + 15 = 20 + 15
5n=35 5n = 35
This isolates the variable term on one side of the equation by using the inverse operation of subtraction.
2
Divide both sides of the equation by 5.
5n5=355 \frac{5n}{5} = \frac{35}{5}
n=7 n = 7
This isolates the variable n completely, yielding the final numerical value.

Anahtar Kavram

Solving one-variable linear equations requires using inverse operations to isolate the unknown variable while maintaining balance across the equals sign.
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