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Simplifying 9p + -1(7p + 4) = 9 + -1(3p + -8) Reorder the terms: 9p + -1(4 + 7p) = 9 + -1(3p + -8) 9p + (4 * -1 + 7p * -1) = 9 + -1(3p + -8) 9p + (-4 + -7p) = 9 + -1(3p + -8) Reorder the terms: -4 + 9p + -7p = 9 + -1(3p + -8) Combine like terms: 9p + -7p = 2p -4 + 2p = 9 + -1(3p + -8) Reorder the terms: -4 + 2p = 9 + -1(-8 + 3p) -4 + 2p = 9 + (-8 * -1 + 3p * -1) -4 + 2p = 9 + (8 + -3p) Combine like terms: 9 + 8 = 17 -4 + 2p = 17 + -3p Solving -4 + 2p = 17 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -4 + 2p + 3p = 17 + -3p + 3p Combine like terms: 2p + 3p = 5p -4 + 5p = 17 + -3p + 3p Combine like terms: -3p + 3p = 0 -4 + 5p = 17 + 0 -4 + 5p = 17 Add '4' to each side of the equation. -4 + 4 + 5p = 17 + 4 Combine like terms: -4 + 4 = 0 0 + 5p = 17 + 4 5p = 17 + 4 Combine like terms: 17 + 4 = 21 5p = 21 Divide each side by '5'. p = 4.2 Simplifying p = 4.2
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