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Simplifying 6p + 5 = -4 + -1(1 + -4p) Reorder the terms: 5 + 6p = -4 + -1(1 + -4p) 5 + 6p = -4 + (1 * -1 + -4p * -1) 5 + 6p = -4 + (-1 + 4p) Combine like terms: -4 + -1 = -5 5 + 6p = -5 + 4p Solving 5 + 6p = -5 + 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. 5 + 6p + -4p = -5 + 4p + -4p Combine like terms: 6p + -4p = 2p 5 + 2p = -5 + 4p + -4p Combine like terms: 4p + -4p = 0 5 + 2p = -5 + 0 5 + 2p = -5 Add '-5' to each side of the equation. 5 + -5 + 2p = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 2p = -5 + -5 2p = -5 + -5 Combine like terms: -5 + -5 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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