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Simplifying -5(p + 2) + -10 = -9 + 8p Reorder the terms: -5(2 + p) + -10 = -9 + 8p (2 * -5 + p * -5) + -10 = -9 + 8p (-10 + -5p) + -10 = -9 + 8p Reorder the terms: -10 + -10 + -5p = -9 + 8p Combine like terms: -10 + -10 = -20 -20 + -5p = -9 + 8p Solving -20 + -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. -20 + -5p + -8p = -9 + 8p + -8p Combine like terms: -5p + -8p = -13p -20 + -13p = -9 + 8p + -8p Combine like terms: 8p + -8p = 0 -20 + -13p = -9 + 0 -20 + -13p = -9 Add '20' to each side of the equation. -20 + 20 + -13p = -9 + 20 Combine like terms: -20 + 20 = 0 0 + -13p = -9 + 20 -13p = -9 + 20 Combine like terms: -9 + 20 = 11 -13p = 11 Divide each side by '-13'. p = -0.8461538462 Simplifying p = -0.8461538462
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