Questions: Which expression is equivalent to (6(3 a+7)+4 ?) - (3 a+46) - (18 a+11) - (18 a+46) - (46 a+18)

Transcript text: Which expression is equivalent to $6(3 a+7)+4 ?$ \[ \begin{array}{l} 3 a+46 \\ 18 a+11 \\ 18 a+46 \\ 46 a+18 \end{array} \]

Solution

Solution Steps

To find an expression equivalent to $6(3a + 7) + 4$, we need to apply the distributive property to expand the expression. This involves multiplying each term inside the parentheses by 6, and then adding 4 to the result. After expanding, we can simplify the expression to find the equivalent form.

Step 1: Expand the Expression

We start with the expression $6(3a + 7) + 4$. Using the distributive property, we expand it as follows: \[ 6(3a) + 6(7) + 4 = 18a + 42 + 4 \]

Step 2: Simplify the Expression

Next, we combine the constant terms: \[ 18a + 42 + 4 = 18a + 46 \]