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Complete the process of solving the equation.

Fill in the missing term on each line. Simplify any fractions.
c/ –5–10=5

c/ –5=
Add 10 to both sides
c=
Multiply both sides by
–
5

1 answer

Let's solve the equation step by step, filling in the missing terms as we go.

We start with the equation:

\[ \frac{c}{-5} - 10 = 5 \]

Step 1: Isolate the term with \( c \)

Add 10 to both sides:

\[ \frac{c}{-5} = 5 + 10 \]

Simplifying the right side gives:

\[ \frac{c}{-5} = 15 \]

Step 2: Solve for \( c \)

Now, multiply both sides by \(-5\):

\[ c = 15 \times -5 \]

Calculating that gives:

\[ c = -75 \]

So, the completed steps are:

  1. \(\frac{c}{-5} - 10 = 5\)
  2. \(\frac{c}{-5} = 15\) (after adding 10)
  3. \(c = -75\) (after multiplying by \(-5\))