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Simplifying 3(4p + -9) + -2(p + -9) = 0 Reorder the terms: 3(-9 + 4p) + -2(p + -9) = 0 (-9 * 3 + 4p * 3) + -2(p + -9) = 0 (-27 + 12p) + -2(p + -9) = 0 Reorder the terms: -27 + 12p + -2(-9 + p) = 0 -27 + 12p + (-9 * -2 + p * -2) = 0 -27 + 12p + (18 + -2p) = 0 Reorder the terms: -27 + 18 + 12p + -2p = 0 Combine like terms: -27 + 18 = -9 -9 + 12p + -2p = 0 Combine like terms: 12p + -2p = 10p -9 + 10p = 0 Solving -9 + 10p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 10p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 10p = 0 + 9 10p = 0 + 9 Combine like terms: 0 + 9 = 9 10p = 9 Divide each side by '10'. p = 0.9 Simplifying p = 0.9
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