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Simplifying -6(1 + -8p) = -6 + 3p (1 * -6 + -8p * -6) = -6 + 3p (-6 + 48p) = -6 + 3p Add '6' to each side of the equation. -6 + 6 + 48p = -6 + 6 + 3p Combine like terms: -6 + 6 = 0 0 + 48p = -6 + 6 + 3p 48p = -6 + 6 + 3p Combine like terms: -6 + 6 = 0 48p = 0 + 3p 48p = 3p Solving 48p = 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 48p + -3p = 3p + -3p Combine like terms: 48p + -3p = 45p 45p = 3p + -3p Combine like terms: 3p + -3p = 0 45p = 0 Divide each side by '45'. p = 0 Simplifying p = 0
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