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Simplifying -4p + -4(4 + -3p) = 6(p + -2) + -14 -4p + (4 * -4 + -3p * -4) = 6(p + -2) + -14 -4p + (-16 + 12p) = 6(p + -2) + -14 Reorder the terms: -16 + -4p + 12p = 6(p + -2) + -14 Combine like terms: -4p + 12p = 8p -16 + 8p = 6(p + -2) + -14 Reorder the terms: -16 + 8p = 6(-2 + p) + -14 -16 + 8p = (-2 * 6 + p * 6) + -14 -16 + 8p = (-12 + 6p) + -14 Reorder the terms: -16 + 8p = -12 + -14 + 6p Combine like terms: -12 + -14 = -26 -16 + 8p = -26 + 6p Solving -16 + 8p = -26 + 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. -16 + 8p + -6p = -26 + 6p + -6p Combine like terms: 8p + -6p = 2p -16 + 2p = -26 + 6p + -6p Combine like terms: 6p + -6p = 0 -16 + 2p = -26 + 0 -16 + 2p = -26 Add '16' to each side of the equation. -16 + 16 + 2p = -26 + 16 Combine like terms: -16 + 16 = 0 0 + 2p = -26 + 16 2p = -26 + 16 Combine like terms: -26 + 16 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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