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Simplifying -8(1 + 7p) + 2p = 46 (1 * -8 + 7p * -8) + 2p = 46 (-8 + -56p) + 2p = 46 Combine like terms: -56p + 2p = -54p -8 + -54p = 46 Solving -8 + -54p = 46 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -54p = 46 + 8 Combine like terms: -8 + 8 = 0 0 + -54p = 46 + 8 -54p = 46 + 8 Combine like terms: 46 + 8 = 54 -54p = 54 Divide each side by '-54'. p = -1 Simplifying p = -1
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