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Simplifying 10p + -3 = 2(12 + 4p + -7) Reorder the terms: -3 + 10p = 2(12 + 4p + -7) Reorder the terms: -3 + 10p = 2(12 + -7 + 4p) Combine like terms: 12 + -7 = 5 -3 + 10p = 2(5 + 4p) -3 + 10p = (5 * 2 + 4p * 2) -3 + 10p = (10 + 8p) Solving -3 + 10p = 10 + 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 = 10 + 8p + -8p Combine like terms: 10p + -8p = 2p -3 + 2p = 10 + 8p + -8p Combine like terms: 8p + -8p = 0 -3 + 2p = 10 + 0 -3 + 2p = 10 Add '3' to each side of the equation. -3 + 3 + 2p = 10 + 3 Combine like terms: -3 + 3 = 0 0 + 2p = 10 + 3 2p = 10 + 3 Combine like terms: 10 + 3 = 13 2p = 13 Divide each side by '2'. p = 6.5 Simplifying p = 6.5
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