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Simplifying 7(p + 5) + 6 = 83 Reorder the terms: 7(5 + p) + 6 = 83 (5 * 7 + p * 7) + 6 = 83 (35 + 7p) + 6 = 83 Reorder the terms: 35 + 6 + 7p = 83 Combine like terms: 35 + 6 = 41 41 + 7p = 83 Solving 41 + 7p = 83 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 7p = 83 + -41 Combine like terms: 41 + -41 = 0 0 + 7p = 83 + -41 7p = 83 + -41 Combine like terms: 83 + -41 = 42 7p = 42 Divide each side by '7'. p = 6 Simplifying p = 6
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