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Simplifying -5(p + -2) + -4 = -9 + -8p Reorder the terms: -5(-2 + p) + -4 = -9 + -8p (-2 * -5 + p * -5) + -4 = -9 + -8p (10 + -5p) + -4 = -9 + -8p Reorder the terms: 10 + -4 + -5p = -9 + -8p Combine like terms: 10 + -4 = 6 6 + -5p = -9 + -8p Solving 6 + -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. 6 + -5p + 8p = -9 + -8p + 8p Combine like terms: -5p + 8p = 3p 6 + 3p = -9 + -8p + 8p Combine like terms: -8p + 8p = 0 6 + 3p = -9 + 0 6 + 3p = -9 Add '-6' to each side of the equation. 6 + -6 + 3p = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3p = -9 + -6 3p = -9 + -6 Combine like terms: -9 + -6 = -15 3p = -15 Divide each side by '3'. p = -5 Simplifying p = -5
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