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6) \( -8 v+6(10+6 v) \)

Ask by Fernandez Horton. in the United States
Jan 24,2025

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The simplified expression is \(28v + 60\).

Solución

Sure, let's simplify the expression step by step: \[ -8v + 6(10 + 6v) \] 1. **Distribute the 6 into the parentheses:** \[ -8v + 6 \times 10 + 6 \times 6v = -8v + 60 + 36v \] 2. **Combine like terms (terms containing \( v \)):** \[ (-8v + 36v) + 60 = 28v + 60 \] So, the simplified form of the expression is: \[ 28v + 60 \] **Final Answer:** \(28v + 60\)

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First, we can simplify the expression step by step. Start by distributing the 6 inside the parentheses: \[ -8v + 6 \times 10 + 6 \times 6v = -8v + 60 + 36v \] Now, combine like terms. The \( -8v \) and \( 36v \) come together: \[ (-8v + 36v) + 60 = 28v + 60 \] So the simplified expression is \( 28v + 60 \). If you want to take it a step further, you can factor it. Notice that both terms share a common factor of 4: \[ 4(7v + 15) \] Your final answer in a simplified and factored form is \( 4(7v + 15) \).

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