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Simplifying -2(1 + -6p) + -1(4p + -7) = -35 (1 * -2 + -6p * -2) + -1(4p + -7) = -35 (-2 + 12p) + -1(4p + -7) = -35 Reorder the terms: -2 + 12p + -1(-7 + 4p) = -35 -2 + 12p + (-7 * -1 + 4p * -1) = -35 -2 + 12p + (7 + -4p) = -35 Reorder the terms: -2 + 7 + 12p + -4p = -35 Combine like terms: -2 + 7 = 5 5 + 12p + -4p = -35 Combine like terms: 12p + -4p = 8p 5 + 8p = -35 Solving 5 + 8p = -35 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8p = -35 + -5 Combine like terms: 5 + -5 = 0 0 + 8p = -35 + -5 8p = -35 + -5 Combine like terms: -35 + -5 = -40 8p = -40 Divide each side by '8'. p = -5 Simplifying p = -5
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