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Simplifying -1(2p + 1) = 27 + -6p Reorder the terms: -1(1 + 2p) = 27 + -6p (1 * -1 + 2p * -1) = 27 + -6p (-1 + -2p) = 27 + -6p Solving -1 + -2p = 27 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -1 + -2p + 6p = 27 + -6p + 6p Combine like terms: -2p + 6p = 4p -1 + 4p = 27 + -6p + 6p Combine like terms: -6p + 6p = 0 -1 + 4p = 27 + 0 -1 + 4p = 27 Add '1' to each side of the equation. -1 + 1 + 4p = 27 + 1 Combine like terms: -1 + 1 = 0 0 + 4p = 27 + 1 4p = 27 + 1 Combine like terms: 27 + 1 = 28 4p = 28 Divide each side by '4'. p = 7 Simplifying p = 7
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