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Simplifying -1(1 + -4p) = 5p + -7 (1 * -1 + -4p * -1) = 5p + -7 (-1 + 4p) = 5p + -7 Reorder the terms: -1 + 4p = -7 + 5p Solving -1 + 4p = -7 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -1 + 4p + -5p = -7 + 5p + -5p Combine like terms: 4p + -5p = -1p -1 + -1p = -7 + 5p + -5p Combine like terms: 5p + -5p = 0 -1 + -1p = -7 + 0 -1 + -1p = -7 Add '1' to each side of the equation. -1 + 1 + -1p = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -1p = -7 + 1 -1p = -7 + 1 Combine like terms: -7 + 1 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6
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