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Simplifying 5(p + -1) + -1(1 + -2p) = 8 Reorder the terms: 5(-1 + p) + -1(1 + -2p) = 8 (-1 * 5 + p * 5) + -1(1 + -2p) = 8 (-5 + 5p) + -1(1 + -2p) = 8 -5 + 5p + (1 * -1 + -2p * -1) = 8 -5 + 5p + (-1 + 2p) = 8 Reorder the terms: -5 + -1 + 5p + 2p = 8 Combine like terms: -5 + -1 = -6 -6 + 5p + 2p = 8 Combine like terms: 5p + 2p = 7p -6 + 7p = 8 Solving -6 + 7p = 8 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 + 7p = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7p = 8 + 6 7p = 8 + 6 Combine like terms: 8 + 6 = 14 7p = 14 Divide each side by '7'. p = 2 Simplifying p = 2
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