Solve the equation 2c = 18 for c.
Understand the Problem
The question is asking to solve the equation 2c = 18 for the variable c by using division to isolate c on one side of the equation.
Answer
The value of \( c \) is \( 9 \).
Answer for screen readers
The final answer is ( c = 9 ).
Steps to Solve
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Identify the equation The equation given is ( 2c = 18 ).
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Divide both sides by 2 To isolate ( c ), divide both sides of the equation by 2:
$$ c = \frac{18}{2} $$
- Calculate the result Now perform the division on the right side:
$$ c = 9 $$
The final answer is ( c = 9 ).
More Information
When solving equations, you can isolate the variable by performing the same operation on both sides of the equation. This maintains the equality. Here, dividing by 2 allowed us to find the value of ( c ).
Tips
- A common mistake is forgetting to divide both sides of the equation by the same number. This will lead to an incorrect solution.
- Another mistake is miscalculating the division when isolating ( c ).
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