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Simplifying 4(p + 2) + -1(2 + -1p) + -4p = 0 Reorder the terms: 4(2 + p) + -1(2 + -1p) + -4p = 0 (2 * 4 + p * 4) + -1(2 + -1p) + -4p = 0 (8 + 4p) + -1(2 + -1p) + -4p = 0 8 + 4p + (2 * -1 + -1p * -1) + -4p = 0 8 + 4p + (-2 + 1p) + -4p = 0 Reorder the terms: 8 + -2 + 4p + 1p + -4p = 0 Combine like terms: 8 + -2 = 6 6 + 4p + 1p + -4p = 0 Combine like terms: 4p + 1p = 5p 6 + 5p + -4p = 0 Combine like terms: 5p + -4p = 1p 6 + 1p = 0 Solving 6 + 1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1p = 0 + -6 1p = 0 + -6 Combine like terms: 0 + -6 = -6 1p = -6 Divide each side by '1'. p = -6 Simplifying p = -6
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