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Simplifying 5(p + 7) + 3(p + 3) = 0 Reorder the terms: 5(7 + p) + 3(p + 3) = 0 (7 * 5 + p * 5) + 3(p + 3) = 0 (35 + 5p) + 3(p + 3) = 0 Reorder the terms: 35 + 5p + 3(3 + p) = 0 35 + 5p + (3 * 3 + p * 3) = 0 35 + 5p + (9 + 3p) = 0 Reorder the terms: 35 + 9 + 5p + 3p = 0 Combine like terms: 35 + 9 = 44 44 + 5p + 3p = 0 Combine like terms: 5p + 3p = 8p 44 + 8p = 0 Solving 44 + 8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 8p = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 8p = 0 + -44 8p = 0 + -44 Combine like terms: 0 + -44 = -44 8p = -44 Divide each side by '8'. p = -5.5 Simplifying p = -5.5
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