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Simplifying -5(-3p + -7) = -13 + 3p Reorder the terms: -5(-7 + -3p) = -13 + 3p (-7 * -5 + -3p * -5) = -13 + 3p (35 + 15p) = -13 + 3p Solving 35 + 15p = -13 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 35 + 15p + -3p = -13 + 3p + -3p Combine like terms: 15p + -3p = 12p 35 + 12p = -13 + 3p + -3p Combine like terms: 3p + -3p = 0 35 + 12p = -13 + 0 35 + 12p = -13 Add '-35' to each side of the equation. 35 + -35 + 12p = -13 + -35 Combine like terms: 35 + -35 = 0 0 + 12p = -13 + -35 12p = -13 + -35 Combine like terms: -13 + -35 = -48 12p = -48 Divide each side by '12'. p = -4 Simplifying p = -4
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