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Simplifying -2p + -5(6 + -2p) = 6(p + -4) + -14 -2p + (6 * -5 + -2p * -5) = 6(p + -4) + -14 -2p + (-30 + 10p) = 6(p + -4) + -14 Reorder the terms: -30 + -2p + 10p = 6(p + -4) + -14 Combine like terms: -2p + 10p = 8p -30 + 8p = 6(p + -4) + -14 Reorder the terms: -30 + 8p = 6(-4 + p) + -14 -30 + 8p = (-4 * 6 + p * 6) + -14 -30 + 8p = (-24 + 6p) + -14 Reorder the terms: -30 + 8p = -24 + -14 + 6p Combine like terms: -24 + -14 = -38 -30 + 8p = -38 + 6p Solving -30 + 8p = -38 + 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 = -38 + 6p + -6p Combine like terms: 8p + -6p = 2p -30 + 2p = -38 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 2p = -38 + 0 -30 + 2p = -38 Add '30' to each side of the equation. -30 + 30 + 2p = -38 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -38 + 30 2p = -38 + 30 Combine like terms: -38 + 30 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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