Which of the following is equivalent to

Question

7c + (9c − 8) = 110?
Group of answer choices

-16c+8=110

16c-8=110

2c+8=110

16c+8=110

Answer 1

To find which of the given expressions is equivalent to the equation \( 7c + (9c - 8) = 110 \), let's simplify the left side of the equation step-by-step.

Starting with the equation:

\[ 7c + (9c - 8) = 110 \]

We can rewrite it by distributing and combining like terms:

1. Remove the parentheses: \[ 7c + 9c - 8 = 110 \]

2. Combine the \( c \) terms: \[ (7c + 9c) - 8 = 110 \] \[ 16c - 8 = 110 \]

Now, we have the simplified equation:

\[ 16c - 8 = 110 \]

Thus, the correct choice that is equivalent to the original equation is:

\[ \text{16c - 8 = 110} \]

So, the answer is:

16c - 8 = 110.