Pregunta
Solve the equation. \[ \begin{array}{l}4+8 n=4 n+4 \\ \text { Select the correct choice below and fill in any answer boxes in your choice. The solution set is }\{\square\} \text {. (Simplify your answer.) } \\ \text { B. There is no solution. }\end{array} \]
Ask by Medina Carlson. in the United States
Jan 31,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The solution set is \(\{0\}\).
Solución
To solve the equation:
\[
4 + 8n = 4n + 4
\]
**Step 1:** Subtract \(4n\) from both sides to get the terms with \(n\) on one side:
\[
4 + 8n - 4n = 4n + 4 - 4n
\]
\[
4 + 4n = 4
\]
**Step 2:** Subtract 4 from both sides to isolate the term with \(n\):
\[
4n = 0
\]
**Step 3:** Divide both sides by 4 to solve for \(n\):
\[
n = 0
\]
**Solution Set:**
\[
\{0\}
\]
So, the correct choice is:
**A.** The solution set is \(\{0\}\).
*(Note: Option B states that there is no solution, which is incorrect.)*
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Mind Expander
To solve the equation \(4 + 8n = 4n + 4\), we first want to get all \(n\) terms on one side and constant terms on the other side. Start by subtracting \(4n\) from both sides: \[ 4 + 8n - 4n = 4 \] This simplifies to: \[ 4 + 4n = 4 \] Next, subtract 4 from both sides: \[ 4n = 4 - 4 \] This gives: \[ 4n = 0 \] Now, divide both sides by 4: \[ n = 0 \] So the solution set is \(\{0\}\). The answer is \(\{0\}\).
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