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Simplifying -4(5x + 8 + 3p) = 0 Reorder the terms: -4(8 + 3p + 5x) = 0 (8 * -4 + 3p * -4 + 5x * -4) = 0 (-32 + -12p + -20x) = 0 Solving -32 + -12p + -20x = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -12p + 32 + -20x = 0 + 32 Reorder the terms: -32 + 32 + -12p + -20x = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -12p + -20x = 0 + 32 -12p + -20x = 0 + 32 Combine like terms: 0 + 32 = 32 -12p + -20x = 32 Add '20x' to each side of the equation. -12p + -20x + 20x = 32 + 20x Combine like terms: -20x + 20x = 0 -12p + 0 = 32 + 20x -12p = 32 + 20x Divide each side by '-12'. p = -2.666666667 + -1.666666667x Simplifying p = -2.666666667 + -1.666666667x
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