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Simplifying -7(1 + -1p) = -2(1 + -3p) (1 * -7 + -1p * -7) = -2(1 + -3p) (-7 + 7p) = -2(1 + -3p) -7 + 7p = (1 * -2 + -3p * -2) -7 + 7p = (-2 + 6p) Solving -7 + 7p = -2 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -7 + 7p + -6p = -2 + 6p + -6p Combine like terms: 7p + -6p = 1p -7 + 1p = -2 + 6p + -6p Combine like terms: 6p + -6p = 0 -7 + 1p = -2 + 0 -7 + 1p = -2 Add '7' to each side of the equation. -7 + 7 + 1p = -2 + 7 Combine like terms: -7 + 7 = 0 0 + 1p = -2 + 7 1p = -2 + 7 Combine like terms: -2 + 7 = 5 1p = 5 Divide each side by '1'. p = 5 Simplifying p = 5
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