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Simplifying 4(9p + -4) + -1(3(2p + -3) + 5) = 0 Reorder the terms: 4(-4 + 9p) + -1(3(2p + -3) + 5) = 0 (-4 * 4 + 9p * 4) + -1(3(2p + -3) + 5) = 0 (-16 + 36p) + -1(3(2p + -3) + 5) = 0 Reorder the terms: -16 + 36p + -1(3(-3 + 2p) + 5) = 0 -16 + 36p + -1((-3 * 3 + 2p * 3) + 5) = 0 -16 + 36p + -1((-9 + 6p) + 5) = 0 Reorder the terms: -16 + 36p + -1(-9 + 5 + 6p) = 0 Combine like terms: -9 + 5 = -4 -16 + 36p + -1(-4 + 6p) = 0 -16 + 36p + (-4 * -1 + 6p * -1) = 0 -16 + 36p + (4 + -6p) = 0 Reorder the terms: -16 + 4 + 36p + -6p = 0 Combine like terms: -16 + 4 = -12 -12 + 36p + -6p = 0 Combine like terms: 36p + -6p = 30p -12 + 30p = 0 Solving -12 + 30p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 30p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 30p = 0 + 12 30p = 0 + 12 Combine like terms: 0 + 12 = 12 30p = 12 Divide each side by '30'. p = 0.4 Simplifying p = 0.4
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