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