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Simplifying -2 + 5p = -1(1 + -4p) + -5 -2 + 5p = (1 * -1 + -4p * -1) + -5 -2 + 5p = (-1 + 4p) + -5 Reorder the terms: -2 + 5p = -1 + -5 + 4p Combine like terms: -1 + -5 = -6 -2 + 5p = -6 + 4p Solving -2 + 5p = -6 + 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 + 5p + -4p = -6 + 4p + -4p Combine like terms: 5p + -4p = 1p -2 + 1p = -6 + 4p + -4p Combine like terms: 4p + -4p = 0 -2 + 1p = -6 + 0 -2 + 1p = -6 Add '2' to each side of the equation. -2 + 2 + 1p = -6 + 2 Combine like terms: -2 + 2 = 0 0 + 1p = -6 + 2 1p = -6 + 2 Combine like terms: -6 + 2 = -4 1p = -4 Divide each side by '1'. p = -4 Simplifying p = -4
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