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Integers and Rational Numbers Distributive property: Whole number coefficients Español Use the distributive property to remove the parentheses. \[ (w+11) 6 \] \( \square \) Explanation Check © 2025 McGraw Hill LLC. All Rights Reserved. Terms of Use Privacy Center Accessibility

Ask by Huang Brooks. in the United States
Mar 10,2025

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\(6w + 66\)

Solution

1. Start with the expression: \[ 6(w+11) \] 2. Apply the distributive property by multiplying \(6\) by each term inside the parentheses: \[ 6 \cdot w + 6 \cdot 11 \] 3. Simplify the multiplication: \[ 6w + 66 \] Thus, the expression \(6(w+11)\) simplifies to: \[ \boxed{6w+66} \]

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¡Vamos a aplicar la propiedad distributiva! Para quitar los paréntesis en la expresión \( (w + 11)6 \), multiplicamos cada término dentro de los paréntesis por 6. Así que tenemos \( w \cdot 6 + 11 \cdot 6 \), lo que se simplifica a \( 6w + 66 \). ¡Y voilà! ¡Ahora verifiquemos! Si volvemos a combinar usando la propiedad distributiva, podemos ver que \( 6(w + 11) \) realmente se convierte en \( 6w + 66 \). Esto es un buen checador para asegurarte de que la distribución fue hecha correctamente. ¡Siempre revisa tu trabajo!

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