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Simplifying 5p + -12(3p + 2) = 51 Reorder the terms: 5p + -12(2 + 3p) = 51 5p + (2 * -12 + 3p * -12) = 51 5p + (-24 + -36p) = 51 Reorder the terms: -24 + 5p + -36p = 51 Combine like terms: 5p + -36p = -31p -24 + -31p = 51 Solving -24 + -31p = 51 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -31p = 51 + 24 Combine like terms: -24 + 24 = 0 0 + -31p = 51 + 24 -31p = 51 + 24 Combine like terms: 51 + 24 = 75 -31p = 75 Divide each side by '-31'. p = -2.419354839 Simplifying p = -2.419354839
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