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Zorluk: OrtaSolving One-Variable Linear Equations

If −4(2n−3)=2n−3(3n+1)-4(2n - 3) = 2n - 3(3n + 1), what is the value of nn?

  1. 15Cevap
  2. B
    -9
  3. C
    1
  4. D
    0

Cevap

15
The equation correctly simplifies to -8n + 12 = -7n - 3 after proper distribution and combining of like terms. Isolating the variable by adding 8n and 3 to both sides yields n = 15.

Adım Adım Çözüm

1
Distribute the factors on both sides of the equation.
−8n+12=2n−9n−3-8n + 12 = 2n - 9n - 3
Multiplying the outside numbers across the terms inside the parentheses removes the grouping symbols.
2
Combine like terms on the right side.
−8n+12=−7n−3-8n + 12 = -7n - 3
Adding 2n2n and −9n-9n simplifies the right side to a single variable term.
3
Isolate the variable nn.
12+3=−7n+8n12 + 3 = -7n + 8n, which simplifies to 15=n15 = n
Moving all variable terms to one side and constant terms to the other side solves the equation.

Anahtar Kavram

Solving one-variable linear equations requiring distribution and combining like terms.
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Konular

Solving One-Variable Linear Equations

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