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Simplifying 5 + 4p + -1(5p + 6) + -1(3p + 4) = 0 Reorder the terms: 5 + 4p + -1(6 + 5p) + -1(3p + 4) = 0 5 + 4p + (6 * -1 + 5p * -1) + -1(3p + 4) = 0 5 + 4p + (-6 + -5p) + -1(3p + 4) = 0 Reorder the terms: 5 + 4p + -6 + -5p + -1(4 + 3p) = 0 5 + 4p + -6 + -5p + (4 * -1 + 3p * -1) = 0 5 + 4p + -6 + -5p + (-4 + -3p) = 0 Reorder the terms: 5 + -6 + -4 + 4p + -5p + -3p = 0 Combine like terms: 5 + -6 = -1 -1 + -4 + 4p + -5p + -3p = 0 Combine like terms: -1 + -4 = -5 -5 + 4p + -5p + -3p = 0 Combine like terms: 4p + -5p = -1p -5 + -1p + -3p = 0 Combine like terms: -1p + -3p = -4p -5 + -4p = 0 Solving -5 + -4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4p = 0 + 5 -4p = 0 + 5 Combine like terms: 0 + 5 = 5 -4p = 5 Divide each side by '-4'. p = -1.25 Simplifying p = -1.25
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