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Simplifying -12p + -4(5 + -5p) = 6(p + -3) + -6 -12p + (5 * -4 + -5p * -4) = 6(p + -3) + -6 -12p + (-20 + 20p) = 6(p + -3) + -6 Reorder the terms: -20 + -12p + 20p = 6(p + -3) + -6 Combine like terms: -12p + 20p = 8p -20 + 8p = 6(p + -3) + -6 Reorder the terms: -20 + 8p = 6(-3 + p) + -6 -20 + 8p = (-3 * 6 + p * 6) + -6 -20 + 8p = (-18 + 6p) + -6 Reorder the terms: -20 + 8p = -18 + -6 + 6p Combine like terms: -18 + -6 = -24 -20 + 8p = -24 + 6p Solving -20 + 8p = -24 + 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. -20 + 8p + -6p = -24 + 6p + -6p Combine like terms: 8p + -6p = 2p -20 + 2p = -24 + 6p + -6p Combine like terms: 6p + -6p = 0 -20 + 2p = -24 + 0 -20 + 2p = -24 Add '20' to each side of the equation. -20 + 20 + 2p = -24 + 20 Combine like terms: -20 + 20 = 0 0 + 2p = -24 + 20 2p = -24 + 20 Combine like terms: -24 + 20 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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