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Simplifying 4p + -1(9p + 13) = 6 + -1(7p + -8) Reorder the terms: 4p + -1(13 + 9p) = 6 + -1(7p + -8) 4p + (13 * -1 + 9p * -1) = 6 + -1(7p + -8) 4p + (-13 + -9p) = 6 + -1(7p + -8) Reorder the terms: -13 + 4p + -9p = 6 + -1(7p + -8) Combine like terms: 4p + -9p = -5p -13 + -5p = 6 + -1(7p + -8) Reorder the terms: -13 + -5p = 6 + -1(-8 + 7p) -13 + -5p = 6 + (-8 * -1 + 7p * -1) -13 + -5p = 6 + (8 + -7p) Combine like terms: 6 + 8 = 14 -13 + -5p = 14 + -7p Solving -13 + -5p = 14 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. -13 + -5p + 7p = 14 + -7p + 7p Combine like terms: -5p + 7p = 2p -13 + 2p = 14 + -7p + 7p Combine like terms: -7p + 7p = 0 -13 + 2p = 14 + 0 -13 + 2p = 14 Add '13' to each side of the equation. -13 + 13 + 2p = 14 + 13 Combine like terms: -13 + 13 = 0 0 + 2p = 14 + 13 2p = 14 + 13 Combine like terms: 14 + 13 = 27 2p = 27 Divide each side by '2'. p = 13.5 Simplifying p = 13.5
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