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Simplifying 6(3p + 5) = 8p + -10 Reorder the terms: 6(5 + 3p) = 8p + -10 (5 * 6 + 3p * 6) = 8p + -10 (30 + 18p) = 8p + -10 Reorder the terms: 30 + 18p = -10 + 8p Solving 30 + 18p = -10 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 30 + 18p + -8p = -10 + 8p + -8p Combine like terms: 18p + -8p = 10p 30 + 10p = -10 + 8p + -8p Combine like terms: 8p + -8p = 0 30 + 10p = -10 + 0 30 + 10p = -10 Add '-30' to each side of the equation. 30 + -30 + 10p = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 10p = -10 + -30 10p = -10 + -30 Combine like terms: -10 + -30 = -40 10p = -40 Divide each side by '10'. p = -4 Simplifying p = -4
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