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Simplifying 3(8p + 10) = -1(6 + -6p) Reorder the terms: 3(10 + 8p) = -1(6 + -6p) (10 * 3 + 8p * 3) = -1(6 + -6p) (30 + 24p) = -1(6 + -6p) 30 + 24p = (6 * -1 + -6p * -1) 30 + 24p = (-6 + 6p) Solving 30 + 24p = -6 + 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. 30 + 24p + -6p = -6 + 6p + -6p Combine like terms: 24p + -6p = 18p 30 + 18p = -6 + 6p + -6p Combine like terms: 6p + -6p = 0 30 + 18p = -6 + 0 30 + 18p = -6 Add '-30' to each side of the equation. 30 + -30 + 18p = -6 + -30 Combine like terms: 30 + -30 = 0 0 + 18p = -6 + -30 18p = -6 + -30 Combine like terms: -6 + -30 = -36 18p = -36 Divide each side by '18'. p = -2 Simplifying p = -2
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