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Simplifying 10p + -3 = 2(12 + 4p) + 7 Reorder the terms: -3 + 10p = 2(12 + 4p) + 7 -3 + 10p = (12 * 2 + 4p * 2) + 7 -3 + 10p = (24 + 8p) + 7 Reorder the terms: -3 + 10p = 24 + 7 + 8p Combine like terms: 24 + 7 = 31 -3 + 10p = 31 + 8p Solving -3 + 10p = 31 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -3 + 10p + -8p = 31 + 8p + -8p Combine like terms: 10p + -8p = 2p -3 + 2p = 31 + 8p + -8p Combine like terms: 8p + -8p = 0 -3 + 2p = 31 + 0 -3 + 2p = 31 Add '3' to each side of the equation. -3 + 3 + 2p = 31 + 3 Combine like terms: -3 + 3 = 0 0 + 2p = 31 + 3 2p = 31 + 3 Combine like terms: 31 + 3 = 34 2p = 34 Divide each side by '2'. p = 17 Simplifying p = 17
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