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Simplifying -12p + -4(6 + -4p) = 2(p + -2) + -12 -12p + (6 * -4 + -4p * -4) = 2(p + -2) + -12 -12p + (-24 + 16p) = 2(p + -2) + -12 Reorder the terms: -24 + -12p + 16p = 2(p + -2) + -12 Combine like terms: -12p + 16p = 4p -24 + 4p = 2(p + -2) + -12 Reorder the terms: -24 + 4p = 2(-2 + p) + -12 -24 + 4p = (-2 * 2 + p * 2) + -12 -24 + 4p = (-4 + 2p) + -12 Reorder the terms: -24 + 4p = -4 + -12 + 2p Combine like terms: -4 + -12 = -16 -24 + 4p = -16 + 2p Solving -24 + 4p = -16 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -24 + 4p + -2p = -16 + 2p + -2p Combine like terms: 4p + -2p = 2p -24 + 2p = -16 + 2p + -2p Combine like terms: 2p + -2p = 0 -24 + 2p = -16 + 0 -24 + 2p = -16 Add '24' to each side of the equation. -24 + 24 + 2p = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = -16 + 24 2p = -16 + 24 Combine like terms: -16 + 24 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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