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Solve the following equation for . Express your answer in the simplest form.
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Q. Solve the following equation for . Express your answer in the simplest form.
- Distribute negative sign: First, distribute the negative sign inside the parentheses: becomes , and becomes . So the equation becomes .
- Combine like terms (left side): Combine like terms on the left side: becomes . Now the equation is .
- Combine like terms (right side): Combine like terms on the right side: becomes . Now the equation is .
- Subtract terms: Subtract from both sides to get the terms to cancel out.This gives us , and we see that the terms have been eliminated.
- Verify solution: Since the terms are gone and we're left with , which is a true statement, this means that the equation is true for all values of . The solution is all real numbers.
