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Simplifying 5(p + 2) + 3(p + -5) = 51 Reorder the terms: 5(2 + p) + 3(p + -5) = 51 (2 * 5 + p * 5) + 3(p + -5) = 51 (10 + 5p) + 3(p + -5) = 51 Reorder the terms: 10 + 5p + 3(-5 + p) = 51 10 + 5p + (-5 * 3 + p * 3) = 51 10 + 5p + (-15 + 3p) = 51 Reorder the terms: 10 + -15 + 5p + 3p = 51 Combine like terms: 10 + -15 = -5 -5 + 5p + 3p = 51 Combine like terms: 5p + 3p = 8p -5 + 8p = 51 Solving -5 + 8p = 51 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8p = 51 + 5 Combine like terms: -5 + 5 = 0 0 + 8p = 51 + 5 8p = 51 + 5 Combine like terms: 51 + 5 = 56 8p = 56 Divide each side by '8'. p = 7 Simplifying p = 7
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