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Simplifying 5p + -1(9p + 19) = 3 + -1(6p + -5) Reorder the terms: 5p + -1(19 + 9p) = 3 + -1(6p + -5) 5p + (19 * -1 + 9p * -1) = 3 + -1(6p + -5) 5p + (-19 + -9p) = 3 + -1(6p + -5) Reorder the terms: -19 + 5p + -9p = 3 + -1(6p + -5) Combine like terms: 5p + -9p = -4p -19 + -4p = 3 + -1(6p + -5) Reorder the terms: -19 + -4p = 3 + -1(-5 + 6p) -19 + -4p = 3 + (-5 * -1 + 6p * -1) -19 + -4p = 3 + (5 + -6p) Combine like terms: 3 + 5 = 8 -19 + -4p = 8 + -6p Solving -19 + -4p = 8 + -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. -19 + -4p + 6p = 8 + -6p + 6p Combine like terms: -4p + 6p = 2p -19 + 2p = 8 + -6p + 6p Combine like terms: -6p + 6p = 0 -19 + 2p = 8 + 0 -19 + 2p = 8 Add '19' to each side of the equation. -19 + 19 + 2p = 8 + 19 Combine like terms: -19 + 19 = 0 0 + 2p = 8 + 19 2p = 8 + 19 Combine like terms: 8 + 19 = 27 2p = 27 Divide each side by '2'. p = 13.5 Simplifying p = 13.5
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