Pregunta
Which expression is equivalent to \( 8-(6 r+2) \) ? \( -6 r+6 \) \( 2 r+2 \) \( 6 r+10 \) \( -6 r+10 \)
Ask by King Ryan. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
The equivalent expression is \( -6r + 6 \).
Solución
To determine which expression is equivalent to \( 8 - (6r + 2) \), let's simplify the given expression step by step:
\[
8 - (6r + 2) = 8 - 6r - 2
\]
Combine like terms:
\[
8 - 2 = 6
\]
So, the expression simplifies to:
\[
-6r + 6
\]
Therefore, the equivalent expression is:
\[
\boxed{-6 r+6}
\]
Revisado y aprobado por el equipo de tutoría de UpStudy
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Mind Expander
To simplify the expression \( 8-(6 r+2) \), start by distributing the negative sign: \[ 8 - 6r - 2 \] Next, combine like terms: \[ 8 - 2 - 6r = 6 - 6r \] This can be rewritten as: \[ -6r + 6 \] So, the equivalent expression is \( -6r + 6 \). If you're wondering about similar expressions, always remember to distribute carefully and combine like terms diligently to avoid miscalculations! Common mistakes include forgetting to distribute the negative sign properly. A little caution can save you from confusion!
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