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solve the equation 20 + 7k = 8(k + 2) first multiply each term in the parenthesis by 8

20 + 7k = 8(k + 2)
20 + 7k = __k + __

1 answer

To solve the equation \( 20 + 7k = 8(k + 2) \), we first distribute the 8 to the terms inside the parentheses.

Starting with:

\[ 20 + 7k = 8(k + 2) \]

we apply the distributive property:

\[ 20 + 7k = 8k + 16 \]

Now, we can fill in the blanks in your format:

\[ 20 + 7k = 8k + 16 \]

Now, we can solve for \( k \):

  1. Subtract \( 7k \) from both sides:

\[ 20 = 8k - 7k + 16 \]

This simplifies to:

\[ 20 = k + 16 \]

  1. Subtract 16 from both sides:

\[ 20 - 16 = k \]

This gives:

\[ k = 4 \]

Thus, the solution to the equation is \( k = 4 \).