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Simplifying 6p + -1(9p + 19) = 7 + -1(5p + -3) Reorder the terms: 6p + -1(19 + 9p) = 7 + -1(5p + -3) 6p + (19 * -1 + 9p * -1) = 7 + -1(5p + -3) 6p + (-19 + -9p) = 7 + -1(5p + -3) Reorder the terms: -19 + 6p + -9p = 7 + -1(5p + -3) Combine like terms: 6p + -9p = -3p -19 + -3p = 7 + -1(5p + -3) Reorder the terms: -19 + -3p = 7 + -1(-3 + 5p) -19 + -3p = 7 + (-3 * -1 + 5p * -1) -19 + -3p = 7 + (3 + -5p) Combine like terms: 7 + 3 = 10 -19 + -3p = 10 + -5p Solving -19 + -3p = 10 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -19 + -3p + 5p = 10 + -5p + 5p Combine like terms: -3p + 5p = 2p -19 + 2p = 10 + -5p + 5p Combine like terms: -5p + 5p = 0 -19 + 2p = 10 + 0 -19 + 2p = 10 Add '19' to each side of the equation. -19 + 19 + 2p = 10 + 19 Combine like terms: -19 + 19 = 0 0 + 2p = 10 + 19 2p = 10 + 19 Combine like terms: 10 + 19 = 29 2p = 29 Divide each side by '2'. p = 14.5 Simplifying p = 14.5
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