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solve for p. -6 + p + 9 = 8 - 4p p =

Question

solve for p. -6 + p + 9 = 8 - 4p p =

Explanation:

Step1: Simplify left side

Combine like terms: \(-6 + 9 + p = 3 + p\)

Step2: Rewrite equation

Now equation is \(3 + p = 8 - 4p\)

Step3: Add \(4p\) to both sides

\(3 + p + 4p = 8 - 4p + 4p\) → \(3 + 5p = 8\)

Step4: Subtract 3 from both sides

\(3 + 5p - 3 = 8 - 3\) → \(5p = 5\)

Step5: Divide by 5

\(\frac{5p}{5} = \frac{5}{5}\) → \(p = 1\)

Answer:

\(1\)