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Simplifying -12p + -4(6 + -5p) = 6(p + -3) + -12 -12p + (6 * -4 + -5p * -4) = 6(p + -3) + -12 -12p + (-24 + 20p) = 6(p + -3) + -12 Reorder the terms: -24 + -12p + 20p = 6(p + -3) + -12 Combine like terms: -12p + 20p = 8p -24 + 8p = 6(p + -3) + -12 Reorder the terms: -24 + 8p = 6(-3 + p) + -12 -24 + 8p = (-3 * 6 + p * 6) + -12 -24 + 8p = (-18 + 6p) + -12 Reorder the terms: -24 + 8p = -18 + -12 + 6p Combine like terms: -18 + -12 = -30 -24 + 8p = -30 + 6p Solving -24 + 8p = -30 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -24 + 8p + -6p = -30 + 6p + -6p Combine like terms: 8p + -6p = 2p -24 + 2p = -30 + 6p + -6p Combine like terms: 6p + -6p = 0 -24 + 2p = -30 + 0 -24 + 2p = -30 Add '24' to each side of the equation. -24 + 24 + 2p = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = -30 + 24 2p = -30 + 24 Combine like terms: -30 + 24 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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