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Simplifying -3(7p + 3) + -2(5 + -17p) + -3(9 + 4p) = 0 Reorder the terms: -3(3 + 7p) + -2(5 + -17p) + -3(9 + 4p) = 0 (3 * -3 + 7p * -3) + -2(5 + -17p) + -3(9 + 4p) = 0 (-9 + -21p) + -2(5 + -17p) + -3(9 + 4p) = 0 -9 + -21p + (5 * -2 + -17p * -2) + -3(9 + 4p) = 0 -9 + -21p + (-10 + 34p) + -3(9 + 4p) = 0 -9 + -21p + -10 + 34p + (9 * -3 + 4p * -3) = 0 -9 + -21p + -10 + 34p + (-27 + -12p) = 0 Reorder the terms: -9 + -10 + -27 + -21p + 34p + -12p = 0 Combine like terms: -9 + -10 = -19 -19 + -27 + -21p + 34p + -12p = 0 Combine like terms: -19 + -27 = -46 -46 + -21p + 34p + -12p = 0 Combine like terms: -21p + 34p = 13p -46 + 13p + -12p = 0 Combine like terms: 13p + -12p = 1p -46 + 1p = 0 Solving -46 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 1p = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 1p = 0 + 46 1p = 0 + 46 Combine like terms: 0 + 46 = 46 1p = 46 Divide each side by '1'. p = 46 Simplifying p = 46
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