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Simplifying -8 + 5(1 + p) = -9 + 8p -8 + (1 * 5 + p * 5) = -9 + 8p -8 + (5 + 5p) = -9 + 8p Combine like terms: -8 + 5 = -3 -3 + 5p = -9 + 8p Solving -3 + 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. -3 + 5p + -8p = -9 + 8p + -8p Combine like terms: 5p + -8p = -3p -3 + -3p = -9 + 8p + -8p Combine like terms: 8p + -8p = 0 -3 + -3p = -9 + 0 -3 + -3p = -9 Add '3' to each side of the equation. -3 + 3 + -3p = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -3p = -9 + 3 -3p = -9 + 3 Combine like terms: -9 + 3 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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