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Simplifying 5(p + -1) + -2(7 + -2p) = 3P + -1 Reorder the terms: 5(-1 + p) + -2(7 + -2p) = 3P + -1 (-1 * 5 + p * 5) + -2(7 + -2p) = 3P + -1 (-5 + 5p) + -2(7 + -2p) = 3P + -1 -5 + 5p + (7 * -2 + -2p * -2) = 3P + -1 -5 + 5p + (-14 + 4p) = 3P + -1 Reorder the terms: -5 + -14 + 5p + 4p = 3P + -1 Combine like terms: -5 + -14 = -19 -19 + 5p + 4p = 3P + -1 Combine like terms: 5p + 4p = 9p -19 + 9p = 3P + -1 Reorder the terms: -19 + 9p = -1 + 3P Solving -19 + 9p = -1 + 3P Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 9p = -1 + 19 + 3P Combine like terms: -19 + 19 = 0 0 + 9p = -1 + 19 + 3P 9p = -1 + 19 + 3P Combine like terms: -1 + 19 = 18 9p = 18 + 3P Divide each side by '9'. p = 2 + 0.3333333333P Simplifying p = 2 + 0.3333333333P
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