Question

1. -50 - c = 5c - 2

Explanation:

Step1: Add \( c \) to both sides

To isolate the variable terms, we add \( c \) to each side of the equation \(-50 - c = 5c - 2\). This gives us \(-50 - c + c = 5c - 2 + c\), which simplifies to \(-50 = 6c - 2\).

Step2: Add 2 to both sides

Next, we add 2 to both sides to isolate the term with \( c \). So, \(-50 + 2 = 6c - 2 + 2\), which simplifies to \(-48 = 6c\).

Step3: Divide by 6

Finally, we divide both sides by 6 to solve for \( c \). That is, \(\frac{-48}{6} = \frac{6c}{6}\), which gives \( c = -8 \).

Answer:

\( c = -8 \)