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Simplifying -6(p + 5) = -16 + 8p Reorder the terms: -6(5 + p) = -16 + 8p (5 * -6 + p * -6) = -16 + 8p (-30 + -6p) = -16 + 8p Solving -30 + -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. -30 + -6p + -8p = -16 + 8p + -8p Combine like terms: -6p + -8p = -14p -30 + -14p = -16 + 8p + -8p Combine like terms: 8p + -8p = 0 -30 + -14p = -16 + 0 -30 + -14p = -16 Add '30' to each side of the equation. -30 + 30 + -14p = -16 + 30 Combine like terms: -30 + 30 = 0 0 + -14p = -16 + 30 -14p = -16 + 30 Combine like terms: -16 + 30 = 14 -14p = 14 Divide each side by '-14'. p = -1 Simplifying p = -1
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