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Simplifying 12 + -2p = -4(p + 1) Reorder the terms: 12 + -2p = -4(1 + p) 12 + -2p = (1 * -4 + p * -4) 12 + -2p = (-4 + -4p) Solving 12 + -2p = -4 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 12 + -2p + 4p = -4 + -4p + 4p Combine like terms: -2p + 4p = 2p 12 + 2p = -4 + -4p + 4p Combine like terms: -4p + 4p = 0 12 + 2p = -4 + 0 12 + 2p = -4 Add '-12' to each side of the equation. 12 + -12 + 2p = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2p = -4 + -12 2p = -4 + -12 Combine like terms: -4 + -12 = -16 2p = -16 Divide each side by '2'. p = -8 Simplifying p = -8
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