Question

Solve for the variable in each of the following equations. Be sure to write your final solution as an equation.
Equation
-c+1=4c+66
Solution

Answer 1

To solve the equation \(-c + 1 = 4c + 66\), we will isolate the variable \(c\).

1. First, add \(c\) to both sides of the equation to eliminate the \(-c\) on the left side:

\[
1 = 4c + c + 66
\]

This simplifies to:

\[
1 = 5c + 66
\]

2. Next, subtract \(66\) from both sides to isolate the term with \(c\):

\[
1 - 66 = 5c
\]

This simplifies to:

\[
-65 = 5c
\]

3. Now, divide both sides by \(5\) to solve for \(c\):

\[
c = \frac{-65}{5}
\]

This simplifies to:

\[
c = -13
\]

The final solution is:

\[
c = -13
\]