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Simplifying 5(4p + -5) + -1[2(2p + -3) + 5] = 0 Reorder the terms: 5(-5 + 4p) + -1[2(2p + -3) + 5] = 0 (-5 * 5 + 4p * 5) + -1[2(2p + -3) + 5] = 0 (-25 + 20p) + -1[2(2p + -3) + 5] = 0 Reorder the terms: -25 + 20p + -1[2(-3 + 2p) + 5] = 0 -25 + 20p + -1[(-3 * 2 + 2p * 2) + 5] = 0 -25 + 20p + -1[(-6 + 4p) + 5] = 0 Reorder the terms: -25 + 20p + -1[-6 + 5 + 4p] = 0 Combine like terms: -6 + 5 = -1 -25 + 20p + -1[-1 + 4p] = 0 -25 + 20p + [-1 * -1 + 4p * -1] = 0 -25 + 20p + [1 + -4p] = 0 Reorder the terms: -25 + 1 + 20p + -4p = 0 Combine like terms: -25 + 1 = -24 -24 + 20p + -4p = 0 Combine like terms: 20p + -4p = 16p -24 + 16p = 0 Solving -24 + 16p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 16p = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 16p = 0 + 24 16p = 0 + 24 Combine like terms: 0 + 24 = 24 16p = 24 Divide each side by '16'. p = 1.5 Simplifying p = 1.5
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