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Simplifying 2p + 2(5p + 5) = 106 Reorder the terms: 2p + 2(5 + 5p) = 106 2p + (5 * 2 + 5p * 2) = 106 2p + (10 + 10p) = 106 Reorder the terms: 10 + 2p + 10p = 106 Combine like terms: 2p + 10p = 12p 10 + 12p = 106 Solving 10 + 12p = 106 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 12p = 106 + -10 Combine like terms: 10 + -10 = 0 0 + 12p = 106 + -10 12p = 106 + -10 Combine like terms: 106 + -10 = 96 12p = 96 Divide each side by '12'. p = 8 Simplifying p = 8
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