If 5c - 2 = 3c, then 24c = ?
Understand the Problem
The question is asking to solve the equation given by '5c - 2 = 3c' to find the value of 'c' and then calculate '24c'.
Answer
$24$
Answer for screen readers
The value of ( 24c ) is ( 24 ).
Steps to Solve
-
Rearranging the equation
To isolate the variable ( c ), we start by moving ( 3c ) to the left side.
The equation becomes:
$$ 5c - 3c - 2 = 0 $$ -
Combining like terms
Next, combine ( 5c ) and ( -3c ):
$$ 2c - 2 = 0 $$ -
Isolating the variable
Now, add 2 to both sides to solve for ( 2c ):
$$ 2c = 2 $$ -
Solving for ( c )
Divide both sides by 2 to find ( c ):
$$ c = 1 $$ -
Calculating ( 24c )
Now that we have the value of ( c ), we calculate ( 24c ):
$$ 24c = 24 \times 1 = 24 $$
The value of ( 24c ) is ( 24 ).
More Information
The equation we solved shows that for every unit increase in ( c ), ( 24c ) scales it by a factor of 24. In practical situations, like calculating prices or measurements, this kind of scaling is useful.
Tips
- Incorrectly moving terms: Ensure that when you move terms from one side of the equation to the other, you change the sign appropriately.
- Forgetting to simplify: Always combine like terms before trying to isolate the variable.
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