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Simplifying 2(-2 + -4p) + 2(-2p + -1) = 12p + -6 (-2 * 2 + -4p * 2) + 2(-2p + -1) = 12p + -6 (-4 + -8p) + 2(-2p + -1) = 12p + -6 Reorder the terms: -4 + -8p + 2(-1 + -2p) = 12p + -6 -4 + -8p + (-1 * 2 + -2p * 2) = 12p + -6 -4 + -8p + (-2 + -4p) = 12p + -6 Reorder the terms: -4 + -2 + -8p + -4p = 12p + -6 Combine like terms: -4 + -2 = -6 -6 + -8p + -4p = 12p + -6 Combine like terms: -8p + -4p = -12p -6 + -12p = 12p + -6 Reorder the terms: -6 + -12p = -6 + 12p Add '6' to each side of the equation. -6 + 6 + -12p = -6 + 6 + 12p Combine like terms: -6 + 6 = 0 0 + -12p = -6 + 6 + 12p -12p = -6 + 6 + 12p Combine like terms: -6 + 6 = 0 -12p = 0 + 12p -12p = 12p Solving -12p = 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. -12p + -12p = 12p + -12p Combine like terms: -12p + -12p = -24p -24p = 12p + -12p Combine like terms: 12p + -12p = 0 -24p = 0 Divide each side by '-24'. p = 0 Simplifying p = 0
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