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Simplifying -3(7p + 3) + -2(4 + -20p) = 3(8 + 6P) Reorder the terms: -3(3 + 7p) + -2(4 + -20p) = 3(8 + 6P) (3 * -3 + 7p * -3) + -2(4 + -20p) = 3(8 + 6P) (-9 + -21p) + -2(4 + -20p) = 3(8 + 6P) -9 + -21p + (4 * -2 + -20p * -2) = 3(8 + 6P) -9 + -21p + (-8 + 40p) = 3(8 + 6P) Reorder the terms: -9 + -8 + -21p + 40p = 3(8 + 6P) Combine like terms: -9 + -8 = -17 -17 + -21p + 40p = 3(8 + 6P) Combine like terms: -21p + 40p = 19p -17 + 19p = 3(8 + 6P) -17 + 19p = (8 * 3 + 6P * 3) -17 + 19p = (24 + 18P) Solving -17 + 19p = 24 + 18P Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 19p = 24 + 17 + 18P Combine like terms: -17 + 17 = 0 0 + 19p = 24 + 17 + 18P 19p = 24 + 17 + 18P Combine like terms: 24 + 17 = 41 19p = 41 + 18P Divide each side by '19'. p = 2.157894737 + 0.9473684211P Simplifying p = 2.157894737 + 0.9473684211P
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