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Simplifying 6(p + 2) = -16 + -8p Reorder the terms: 6(2 + p) = -16 + -8p (2 * 6 + p * 6) = -16 + -8p (12 + 6p) = -16 + -8p Solving 12 + 6p = -16 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 12 + 6p + 8p = -16 + -8p + 8p Combine like terms: 6p + 8p = 14p 12 + 14p = -16 + -8p + 8p Combine like terms: -8p + 8p = 0 12 + 14p = -16 + 0 12 + 14p = -16 Add '-12' to each side of the equation. 12 + -12 + 14p = -16 + -12 Combine like terms: 12 + -12 = 0 0 + 14p = -16 + -12 14p = -16 + -12 Combine like terms: -16 + -12 = -28 14p = -28 Divide each side by '14'. p = -2 Simplifying p = -2
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