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Simplifying 12 = 8p + -1(8 + -2p) 12 = 8p + (8 * -1 + -2p * -1) 12 = 8p + (-8 + 2p) Reorder the terms: 12 = -8 + 8p + 2p Combine like terms: 8p + 2p = 10p 12 = -8 + 10p Solving 12 = -8 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 12 + -10p = -8 + 10p + -10p Combine like terms: 10p + -10p = 0 12 + -10p = -8 + 0 12 + -10p = -8 Add '-12' to each side of the equation. 12 + -12 + -10p = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -10p = -8 + -12 -10p = -8 + -12 Combine like terms: -8 + -12 = -20 -10p = -20 Divide each side by '-10'. p = 2 Simplifying p = 2
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