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Simplifying -6(p + -5) = -6(3p + 5) Reorder the terms: -6(-5 + p) = -6(3p + 5) (-5 * -6 + p * -6) = -6(3p + 5) (30 + -6p) = -6(3p + 5) Reorder the terms: 30 + -6p = -6(5 + 3p) 30 + -6p = (5 * -6 + 3p * -6) 30 + -6p = (-30 + -18p) Solving 30 + -6p = -30 + -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. 30 + -6p + 18p = -30 + -18p + 18p Combine like terms: -6p + 18p = 12p 30 + 12p = -30 + -18p + 18p Combine like terms: -18p + 18p = 0 30 + 12p = -30 + 0 30 + 12p = -30 Add '-30' to each side of the equation. 30 + -30 + 12p = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 12p = -30 + -30 12p = -30 + -30 Combine like terms: -30 + -30 = -60 12p = -60 Divide each side by '12'. p = -5 Simplifying p = -5
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