Questions: Simplify the expression. 8+6(3c-1) 8+6(3c-1)=□

Simplify the expression. 8+6(3c-1) 8+6(3c-1)=□
Transcript text: Simplify the expression. \[ \begin{array}{l} 8+6(3 c-1) \\ 8+6(3 c-1)=\square \end{array} \]
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Solution

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Solution Steps

To simplify the expression \(8 + 6(3c - 1)\), we need to follow these steps:

  1. Distribute the 6 to both terms inside the parentheses.
  2. Combine like terms.
Step 1: Distribute the 6

First, distribute the 6 to both terms inside the parentheses: \[ 6(3c - 1) = 6 \cdot 3c - 6 \cdot 1 = 18c - 6 \]

Step 2: Combine Like Terms

Next, add the constant term 8 to the result from Step 1: \[ 8 + (18c - 6) = 8 - 6 + 18c = 2 + 18c \]

Final Answer

\(\boxed{2 + 18c}\)

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