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3. solve the equation: $6p - 8 + 6 = -8$ a. $p = 5$ b. $p = -1$ c. all …

Question

  1. solve the equation: $6p - 8 + 6 = -8$

a. $p = 5$
b. $p = -1$
c. all real numbers
d. $p = -14$

Explanation:

Step1: Simplify left side

Simplify \(-8 + 6\) to \(-2\), so the equation becomes \(6p - 2 = -8\).

Step2: Add 2 to both sides

Add 2 to each side: \(6p - 2 + 2 = -8 + 2\), which simplifies to \(6p = -6\).

Step3: Divide by 6

Divide both sides by 6: \(\frac{6p}{6} = \frac{-6}{6}\), so \(p = -1\).

Answer:

B. \(p = -1\)