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Simplifying -1[p + -1(4p + 2)] = 3 + (4p + 7) Reorder the terms: -1[p + -1(2 + 4p)] = 3 + (4p + 7) -1[p + (2 * -1 + 4p * -1)] = 3 + (4p + 7) -1[p + (-2 + -4p)] = 3 + (4p + 7) Reorder the terms: -1[-2 + p + -4p] = 3 + (4p + 7) Combine like terms: p + -4p = -3p -1[-2 + -3p] = 3 + (4p + 7) [-2 * -1 + -3p * -1] = 3 + (4p + 7) [2 + 3p] = 3 + (4p + 7) Reorder the terms: 2 + 3p = 3 + (7 + 4p) Remove parenthesis around (7 + 4p) 2 + 3p = 3 + 7 + 4p Combine like terms: 3 + 7 = 10 2 + 3p = 10 + 4p Solving 2 + 3p = 10 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 2 + 3p + -4p = 10 + 4p + -4p Combine like terms: 3p + -4p = -1p 2 + -1p = 10 + 4p + -4p Combine like terms: 4p + -4p = 0 2 + -1p = 10 + 0 2 + -1p = 10 Add '-2' to each side of the equation. 2 + -2 + -1p = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 10 + -2 -1p = 10 + -2 Combine like terms: 10 + -2 = 8 -1p = 8 Divide each side by '-1'. p = -8 Simplifying p = -8
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