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Simplifying 6p + -4(2p + 1) = 12 Reorder the terms: 6p + -4(1 + 2p) = 12 6p + (1 * -4 + 2p * -4) = 12 6p + (-4 + -8p) = 12 Reorder the terms: -4 + 6p + -8p = 12 Combine like terms: 6p + -8p = -2p -4 + -2p = 12 Solving -4 + -2p = 12 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2p = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -2p = 12 + 4 -2p = 12 + 4 Combine like terms: 12 + 4 = 16 -2p = 16 Divide each side by '-2'. p = -8 Simplifying p = -8
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