Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( a = -6 \)
Solution
Para resolver la ecuación \( 20a + 8 = -4 + 18a \), sigue estos pasos:
1. **Simplifica la ecuación restando \(18a\) de ambos lados:**
\[
20a + 8 - 18a = -4 + 18a - 18a
\]
\[
2a + 8 = -4
\]
2. **Resta 8 de ambos lados para aislar el término con \(a\):**
\[
2a + 8 - 8 = -4 - 8
\]
\[
2a = -12
\]
3. **Divide ambos lados por 2 para resolver para \(a\):**
\[
\frac{2a}{2} = \frac{-12}{2}
\]
\[
a = -6
\]
**Respuesta final:**
\( a = -6 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To solve the equation \( 20 a + 8 = -4 + 18 a \), start by getting all terms involving \( a \) on one side and constant terms on the other. Subtract \( 18 a \) from both sides, resulting in \( 20 a - 18 a + 8 = -4 \), which simplifies to \( 2 a + 8 = -4 \). Next, subtract \( 8 \) from both sides: \( 2 a = -12 \). Finally, divide both sides by \( 2 \) to find \( a = -6 \). To check your answer, substitute \( a = -6 \) back into the original equation: \( 20(-6) + 8 = -4 + 18(-6) \). This turns into \( -120 + 8 = -4 - 108 \), which simplifies to \( -112 = -112 \). Hooray! You’ve solved it correctly!
