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Simplifying 9 + 4p + -1(5p + 3) + -1(3p + 5) = 0 Reorder the terms: 9 + 4p + -1(3 + 5p) + -1(3p + 5) = 0 9 + 4p + (3 * -1 + 5p * -1) + -1(3p + 5) = 0 9 + 4p + (-3 + -5p) + -1(3p + 5) = 0 Reorder the terms: 9 + 4p + -3 + -5p + -1(5 + 3p) = 0 9 + 4p + -3 + -5p + (5 * -1 + 3p * -1) = 0 9 + 4p + -3 + -5p + (-5 + -3p) = 0 Reorder the terms: 9 + -3 + -5 + 4p + -5p + -3p = 0 Combine like terms: 9 + -3 = 6 6 + -5 + 4p + -5p + -3p = 0 Combine like terms: 6 + -5 = 1 1 + 4p + -5p + -3p = 0 Combine like terms: 4p + -5p = -1p 1 + -1p + -3p = 0 Combine like terms: -1p + -3p = -4p 1 + -4p = 0 Solving 1 + -4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4p = 0 + -1 -4p = 0 + -1 Combine like terms: 0 + -1 = -1 -4p = -1 Divide each side by '-4'. p = 0.25 Simplifying p = 0.25
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