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Simplifying -1(4p + 2) = -1(7 + -4p) Reorder the terms: -1(2 + 4p) = -1(7 + -4p) (2 * -1 + 4p * -1) = -1(7 + -4p) (-2 + -4p) = -1(7 + -4p) -2 + -4p = (7 * -1 + -4p * -1) -2 + -4p = (-7 + 4p) Solving -2 + -4p = -7 + 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 + -4p + -4p = -7 + 4p + -4p Combine like terms: -4p + -4p = -8p -2 + -8p = -7 + 4p + -4p Combine like terms: 4p + -4p = 0 -2 + -8p = -7 + 0 -2 + -8p = -7 Add '2' to each side of the equation. -2 + 2 + -8p = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -8p = -7 + 2 -8p = -7 + 2 Combine like terms: -7 + 2 = -5 -8p = -5 Divide each side by '-8'. p = 0.625 Simplifying p = 0.625
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