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Simplifying 12p + 7 = 2(p + 8) + 15 Reorder the terms: 7 + 12p = 2(p + 8) + 15 Reorder the terms: 7 + 12p = 2(8 + p) + 15 7 + 12p = (8 * 2 + p * 2) + 15 7 + 12p = (16 + 2p) + 15 Reorder the terms: 7 + 12p = 16 + 15 + 2p Combine like terms: 16 + 15 = 31 7 + 12p = 31 + 2p Solving 7 + 12p = 31 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 7 + 12p + -2p = 31 + 2p + -2p Combine like terms: 12p + -2p = 10p 7 + 10p = 31 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + 10p = 31 + 0 7 + 10p = 31 Add '-7' to each side of the equation. 7 + -7 + 10p = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 10p = 31 + -7 10p = 31 + -7 Combine like terms: 31 + -7 = 24 10p = 24 Divide each side by '10'. p = 2.4 Simplifying p = 2.4
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