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Simplifying -7(2p + 6) + -8 = -162 Reorder the terms: -7(6 + 2p) + -8 = -162 (6 * -7 + 2p * -7) + -8 = -162 (-42 + -14p) + -8 = -162 Reorder the terms: -42 + -8 + -14p = -162 Combine like terms: -42 + -8 = -50 -50 + -14p = -162 Solving -50 + -14p = -162 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -14p = -162 + 50 Combine like terms: -50 + 50 = 0 0 + -14p = -162 + 50 -14p = -162 + 50 Combine like terms: -162 + 50 = -112 -14p = -112 Divide each side by '-14'. p = 8 Simplifying p = 8
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