4 - (c + 72) = 93 - c
Understand the Problem
The question is asking to solve the equation given in the image, which appears to involve a variable 'c'. We will isolate 'c' by manipulating the equation systematically.
Answer
No solution.
Answer for screen readers
There is no solution to the equation.
Steps to Solve
- Expand the Left Side
Start by expanding the left side of the equation:
$$ 4 - (c + 72) = 93 - c $$
This simplifies to:
$$ 4 - c - 72 $$
- Combine Like Terms
Adjust the left side by combining the constants:
$$ 4 - 72 = -68 $$
The equation now looks like:
$$ -68 - c = 93 - c $$
- Eliminate c from One Side
To simplify, add $c$ to both sides of the equation:
$$ -68 = 93 $$
- Rearranging the Equation
Next, isolate $c$ by adding $68$ to both sides:
$$ -68 + 68 = 93 + 68 $$
This gives us:
$$ 0 = 161 $$
- No Solution Check
Since $0$ cannot equal $161$, the conclusion is that there is no solution to the equation.
There is no solution to the equation.
More Information
This indicates that the equation represents a contradiction, meaning that no value of $c$ can satisfy the equation.
Tips
- Not distributing correctly when expanding the left side.
- Forgetting to combine like terms which can lead to incorrect simplifications.
- Misunderstanding that a contradiction means no solution exists.
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