To solve the equation \( 72 + 4 - 14c = 36 \), let's follow these steps:

### Step 1: Simplify the left-hand side
First, combine the constants on the left-hand side:
\[
72 + 4 = 76
\]
So the equation becomes:
\[
76 - 14c = 36
\]

### Step 2: Isolate the term with the variable
Now, subtract 76 from both sides to move the constant to the other side:
\[
-14c = 36 - 76
\]
\[
-14c = -40
\]

### Step 3: Solve for \( c \)
To isolate \( c \), divide both sides by -14:
\[
c = \frac{-40}{-14} = \frac{40}{14} = \frac{20}{7}
\]

Thus, the solution is:
\[
c = \frac{20}{7}
\]

Would you like more details or have any questions?

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Here are 5 related questions:
1. How do you solve equations involving fractions?
2. What are the steps to solve multi-step equations with variables on both sides?
3. How can you check if a solution is correct by plugging it back into the original equation?
4. How would the solution change if the equation had been \( 72 + 4 + 14c = 36 \)?
5. What happens when you divide both sides of an equation by a negative number?

**Tip:** Always simplify the constants on both sides of the equation before dealing with the variable terms!

Learn how to solve the linear equation 72 + 4 - 14c = 36 with a detailed step-by-step solution. This problem covers essential algebraic concepts like simplification and isolating the variable. Suitable for students in Grades 6-8.

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