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Simplifying 5(5p + 4) + 4(3p + 2) = 0 Reorder the terms: 5(4 + 5p) + 4(3p + 2) = 0 (4 * 5 + 5p * 5) + 4(3p + 2) = 0 (20 + 25p) + 4(3p + 2) = 0 Reorder the terms: 20 + 25p + 4(2 + 3p) = 0 20 + 25p + (2 * 4 + 3p * 4) = 0 20 + 25p + (8 + 12p) = 0 Reorder the terms: 20 + 8 + 25p + 12p = 0 Combine like terms: 20 + 8 = 28 28 + 25p + 12p = 0 Combine like terms: 25p + 12p = 37p 28 + 37p = 0 Solving 28 + 37p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 37p = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 37p = 0 + -28 37p = 0 + -28 Combine like terms: 0 + -28 = -28 37p = -28 Divide each side by '37'. p = -0.7567567568 Simplifying p = -0.7567567568
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