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Simplifying 7(p + 8) + 3p = 106 Reorder the terms: 7(8 + p) + 3p = 106 (8 * 7 + p * 7) + 3p = 106 (56 + 7p) + 3p = 106 Combine like terms: 7p + 3p = 10p 56 + 10p = 106 Solving 56 + 10p = 106 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 10p = 106 + -56 Combine like terms: 56 + -56 = 0 0 + 10p = 106 + -56 10p = 106 + -56 Combine like terms: 106 + -56 = 50 10p = 50 Divide each side by '10'. p = 5 Simplifying p = 5
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