We can solve the equation \( 1 = -(c + (-5)) + (-6) \) step by step.

### Step 1: Simplify the parentheses
First, let's simplify the expression inside the parentheses:
\[
1 = -(c - 5) - 6
\]

### Step 2: Distribute the negative sign
Now distribute the negative sign to both terms inside the parentheses:
\[
1 = -c + 5 - 6
\]

### Step 3: Combine like terms
Now combine the constant terms \( 5 \) and \( -6 \):
\[
1 = -c - 1
\]

### Step 4: Solve for \( c \)
To isolate \( c \), add 1 to both sides of the equation:
\[
1 + 1 = -c
\]
\[
2 = -c
\]

Finally, multiply both sides by \( -1 \) to solve for \( c \):
\[
c = -2
\]

Thus, the solution is \( c = -2 \).

Would you like more details or have any questions?

### Related Questions:
1. How do you solve linear equations with parentheses?
2. What are the rules for distributing negative signs?
3. Can you provide examples of equations with more than one variable?
4. What are the steps for solving equations with multiple operations?
5. How do you check if a solution is correct?

**Tip:** When distributing negative signs, remember that it changes the signs of all terms inside the parentheses!

Learn how to solve the linear equation 1 = –(c + –5) + –6 with a step-by-step solution. This algebra problem covers key concepts such as the distributive property and combining like terms. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation