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Simplifying -6(-4p + 1) = 114 Reorder the terms: -6(1 + -4p) = 114 (1 * -6 + -4p * -6) = 114 (-6 + 24p) = 114 Solving -6 + 24p = 114 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 24p = 114 + 6 Combine like terms: -6 + 6 = 0 0 + 24p = 114 + 6 24p = 114 + 6 Combine like terms: 114 + 6 = 120 24p = 120 Divide each side by '24'. p = 5 Simplifying p = 5
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