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Simplifying -12p + -5(6 + -4p) = 6(p + -2) + -6 -12p + (6 * -5 + -4p * -5) = 6(p + -2) + -6 -12p + (-30 + 20p) = 6(p + -2) + -6 Reorder the terms: -30 + -12p + 20p = 6(p + -2) + -6 Combine like terms: -12p + 20p = 8p -30 + 8p = 6(p + -2) + -6 Reorder the terms: -30 + 8p = 6(-2 + p) + -6 -30 + 8p = (-2 * 6 + p * 6) + -6 -30 + 8p = (-12 + 6p) + -6 Reorder the terms: -30 + 8p = -12 + -6 + 6p Combine like terms: -12 + -6 = -18 -30 + 8p = -18 + 6p Solving -30 + 8p = -18 + 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. -30 + 8p + -6p = -18 + 6p + -6p Combine like terms: 8p + -6p = 2p -30 + 2p = -18 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 2p = -18 + 0 -30 + 2p = -18 Add '30' to each side of the equation. -30 + 30 + 2p = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -18 + 30 2p = -18 + 30 Combine like terms: -18 + 30 = 12 2p = 12 Divide each side by '2'. p = 6 Simplifying p = 6
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