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Simplifying 5 + 4p + -1(3p + 7) + -1(4p + 7) = 0 Reorder the terms: 5 + 4p + -1(7 + 3p) + -1(4p + 7) = 0 5 + 4p + (7 * -1 + 3p * -1) + -1(4p + 7) = 0 5 + 4p + (-7 + -3p) + -1(4p + 7) = 0 Reorder the terms: 5 + 4p + -7 + -3p + -1(7 + 4p) = 0 5 + 4p + -7 + -3p + (7 * -1 + 4p * -1) = 0 5 + 4p + -7 + -3p + (-7 + -4p) = 0 Reorder the terms: 5 + -7 + -7 + 4p + -3p + -4p = 0 Combine like terms: 5 + -7 = -2 -2 + -7 + 4p + -3p + -4p = 0 Combine like terms: -2 + -7 = -9 -9 + 4p + -3p + -4p = 0 Combine like terms: 4p + -3p = 1p -9 + 1p + -4p = 0 Combine like terms: 1p + -4p = -3p -9 + -3p = 0 Solving -9 + -3p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -3p = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3p = 0 + 9 -3p = 0 + 9 Combine like terms: 0 + 9 = 9 -3p = 9 Divide each side by '-3'. p = -3 Simplifying p = -3
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