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Simplifying 4(5p + -4) + -1[3(4p + -3) + 2] = 0 Reorder the terms: 4(-4 + 5p) + -1[3(4p + -3) + 2] = 0 (-4 * 4 + 5p * 4) + -1[3(4p + -3) + 2] = 0 (-16 + 20p) + -1[3(4p + -3) + 2] = 0 Reorder the terms: -16 + 20p + -1[3(-3 + 4p) + 2] = 0 -16 + 20p + -1[(-3 * 3 + 4p * 3) + 2] = 0 -16 + 20p + -1[(-9 + 12p) + 2] = 0 Reorder the terms: -16 + 20p + -1[-9 + 2 + 12p] = 0 Combine like terms: -9 + 2 = -7 -16 + 20p + -1[-7 + 12p] = 0 -16 + 20p + [-7 * -1 + 12p * -1] = 0 -16 + 20p + [7 + -12p] = 0 Reorder the terms: -16 + 7 + 20p + -12p = 0 Combine like terms: -16 + 7 = -9 -9 + 20p + -12p = 0 Combine like terms: 20p + -12p = 8p -9 + 8p = 0 Solving -9 + 8p = 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 + 8p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8p = 0 + 9 8p = 0 + 9 Combine like terms: 0 + 9 = 9 8p = 9 Divide each side by '8'. p = 1.125 Simplifying p = 1.125
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