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Simplifying 12 + -1(2p) = 8(p + 4) Remove parenthesis around (2p) 12 + -1 * 2p = 8(p + 4) Multiply -1 * 2 12 + -2p = 8(p + 4) Reorder the terms: 12 + -2p = 8(4 + p) 12 + -2p = (4 * 8 + p * 8) 12 + -2p = (32 + 8p) Solving 12 + -2p = 32 + 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 + -2p + -8p = 32 + 8p + -8p Combine like terms: -2p + -8p = -10p 12 + -10p = 32 + 8p + -8p Combine like terms: 8p + -8p = 0 12 + -10p = 32 + 0 12 + -10p = 32 Add '-12' to each side of the equation. 12 + -12 + -10p = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -10p = 32 + -12 -10p = 32 + -12 Combine like terms: 32 + -12 = 20 -10p = 20 Divide each side by '-10'. p = -2 Simplifying p = -2
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