Question
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Answer
La solución es \( a = 3 \).
Solution
Claro, resolvamos la ecuación paso a paso:
\[
5a - 8 = 4 + a
\]
**Paso 1: Agrupar los términos con \( a \) en un lado y los términos constantes en el otro.**
Resta \( a \) de ambos lados para empezar a aislar la variable:
\[
5a - a - 8 = 4
\]
\[
4a - 8 = 4
\]
**Paso 2: Eliminar el término constante del lado de la variable.**
Suma \( 8 \) a ambos lados para mover el número sin \( a \) al otro lado:
\[
4a - 8 + 8 = 4 + 8
\]
\[
4a = 12
\]
**Paso 3: Resolver para \( a \).**
Divide ambos lados de la ecuación por \( 4 \):
\[
\frac{4a}{4} = \frac{12}{4}
\]
\[
a = 3
\]
**Respuesta final:** \( a = 3 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve the equation \( 5a - 8 = 4 + a \), start by isolating the variable \( a \). First, subtract \( a \) from both sides: \( 5a - a - 8 = 4 \), which simplifies to \( 4a - 8 = 4 \). Next, add 8 to both sides to get \( 4a = 12 \). Finally, divide both sides by 4 to find \( a = 3 \)! Now you'll be a pro at solving equations like this! This approach is quite handy and widely applicable. You might encounter similar equations during math tests or in real-world scenarios, like budgeting or calculating distances. Knowing how to solve for \( a \) allows you to make sense of various situations where relationships between quantities are established, making it a valuable skill!
