Solve the equation 7p - 4 = 8 for p.
Understand the Problem
The question asks us to solve for the value of 'p' in the given linear equation. We need to isolate 'p' by performing algebraic manipulations.
Answer
$\frac{12}{7}$
Answer for screen readers
$\frac{12}{7}$
Steps to Solve
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Add 4 to both sides of the equation To isolate the term with $p$, we add 4 to both sides of the equation: $7p - 4 + 4 = 8 + 4$
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Simplify both sides Simplifying gives us: $7p = 12$
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Divide both sides by 7 To solve for $p$, we divide both sides of the equation by 7: $\frac{7p}{7} = \frac{12}{7}$
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Simplify for the final answer Which simplifies to: $p = \frac{12}{7}$
$\frac{12}{7}$
More Information
The value of $p$ that satisfies the equation $7p - 4 = 8$ is $\frac{12}{7}$.
Tips
A common mistake is to incorrectly perform the order of operations. For example, some might divide 7 by both sides before adding 4. Another common mistake is to make arithmetic errors when adding or dividing.
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