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Simplifying 10p + -12 = 8(2 + p) Reorder the terms: -12 + 10p = 8(2 + p) -12 + 10p = (2 * 8 + p * 8) -12 + 10p = (16 + 8p) Solving -12 + 10p = 16 + 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. -12 + 10p + -8p = 16 + 8p + -8p Combine like terms: 10p + -8p = 2p -12 + 2p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 -12 + 2p = 16 + 0 -12 + 2p = 16 Add '12' to each side of the equation. -12 + 12 + 2p = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 2p = 16 + 12 2p = 16 + 12 Combine like terms: 16 + 12 = 28 2p = 28 Divide each side by '2'. p = 14 Simplifying p = 14
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