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Simplifying -5(p + 2) = -1(-9 + 8p) Reorder the terms: -5(2 + p) = -1(-9 + 8p) (2 * -5 + p * -5) = -1(-9 + 8p) (-10 + -5p) = -1(-9 + 8p) -10 + -5p = (-9 * -1 + 8p * -1) -10 + -5p = (9 + -8p) Solving -10 + -5p = 9 + -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. -10 + -5p + 8p = 9 + -8p + 8p Combine like terms: -5p + 8p = 3p -10 + 3p = 9 + -8p + 8p Combine like terms: -8p + 8p = 0 -10 + 3p = 9 + 0 -10 + 3p = 9 Add '10' to each side of the equation. -10 + 10 + 3p = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 3p = 9 + 10 3p = 9 + 10 Combine like terms: 9 + 10 = 19 3p = 19 Divide each side by '3'. p = 6.333333333 Simplifying p = 6.333333333
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