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Simplifying 10p + -3 = 2(12 + p) + -7 Reorder the terms: -3 + 10p = 2(12 + p) + -7 -3 + 10p = (12 * 2 + p * 2) + -7 -3 + 10p = (24 + 2p) + -7 Reorder the terms: -3 + 10p = 24 + -7 + 2p Combine like terms: 24 + -7 = 17 -3 + 10p = 17 + 2p Solving -3 + 10p = 17 + 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. -3 + 10p + -2p = 17 + 2p + -2p Combine like terms: 10p + -2p = 8p -3 + 8p = 17 + 2p + -2p Combine like terms: 2p + -2p = 0 -3 + 8p = 17 + 0 -3 + 8p = 17 Add '3' to each side of the equation. -3 + 3 + 8p = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 8p = 17 + 3 8p = 17 + 3 Combine like terms: 17 + 3 = 20 8p = 20 Divide each side by '8'. p = 2.5 Simplifying p = 2.5
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