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