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Simplifying 10 + 8p = 8(1 + -5p) + 2 10 + 8p = (1 * 8 + -5p * 8) + 2 10 + 8p = (8 + -40p) + 2 Reorder the terms: 10 + 8p = 8 + 2 + -40p Combine like terms: 8 + 2 = 10 10 + 8p = 10 + -40p Add '-10' to each side of the equation. 10 + -10 + 8p = 10 + -10 + -40p Combine like terms: 10 + -10 = 0 0 + 8p = 10 + -10 + -40p 8p = 10 + -10 + -40p Combine like terms: 10 + -10 = 0 8p = 0 + -40p 8p = -40p Solving 8p = -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. 8p + 40p = -40p + 40p Combine like terms: 8p + 40p = 48p 48p = -40p + 40p Combine like terms: -40p + 40p = 0 48p = 0 Divide each side by '48'. p = 0 Simplifying p = 0
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