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Simplifying -8p + 30 = -6(5 + 3p) Reorder the terms: 30 + -8p = -6(5 + 3p) 30 + -8p = (5 * -6 + 3p * -6) 30 + -8p = (-30 + -18p) Solving 30 + -8p = -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 + -8p + 18p = -30 + -18p + 18p Combine like terms: -8p + 18p = 10p 30 + 10p = -30 + -18p + 18p Combine like terms: -18p + 18p = 0 30 + 10p = -30 + 0 30 + 10p = -30 Add '-30' to each side of the equation. 30 + -30 + 10p = -30 + -30 Combine like terms: 30 + -30 = 0 0 + 10p = -30 + -30 10p = -30 + -30 Combine like terms: -30 + -30 = -60 10p = -60 Divide each side by '10'. p = -6 Simplifying p = -6
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