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Simplifying (4p + 7) + -1(3p + -1) = 0 Reorder the terms: (7 + 4p) + -1(3p + -1) = 0 Remove parenthesis around (7 + 4p) 7 + 4p + -1(3p + -1) = 0 Reorder the terms: 7 + 4p + -1(-1 + 3p) = 0 7 + 4p + (-1 * -1 + 3p * -1) = 0 7 + 4p + (1 + -3p) = 0 Reorder the terms: 7 + 1 + 4p + -3p = 0 Combine like terms: 7 + 1 = 8 8 + 4p + -3p = 0 Combine like terms: 4p + -3p = 1p 8 + 1p = 0 Solving 8 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1p = 0 + -8 1p = 0 + -8 Combine like terms: 0 + -8 = -8 1p = -8 Divide each side by '1'. p = -8 Simplifying p = -8
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