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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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