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Simplifying 6(4p + 1) + -6 = 4p + -20 Reorder the terms: 6(1 + 4p) + -6 = 4p + -20 (1 * 6 + 4p * 6) + -6 = 4p + -20 (6 + 24p) + -6 = 4p + -20 Reorder the terms: 6 + -6 + 24p = 4p + -20 Combine like terms: 6 + -6 = 0 0 + 24p = 4p + -20 24p = 4p + -20 Reorder the terms: 24p = -20 + 4p Solving 24p = -20 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 24p + -4p = -20 + 4p + -4p Combine like terms: 24p + -4p = 20p 20p = -20 + 4p + -4p Combine like terms: 4p + -4p = 0 20p = -20 + 0 20p = -20 Divide each side by '20'. p = -1 Simplifying p = -1
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