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Simplifying -2p + -2(2 + -5p) = 6(p + -6) + -8 -2p + (2 * -2 + -5p * -2) = 6(p + -6) + -8 -2p + (-4 + 10p) = 6(p + -6) + -8 Reorder the terms: -4 + -2p + 10p = 6(p + -6) + -8 Combine like terms: -2p + 10p = 8p -4 + 8p = 6(p + -6) + -8 Reorder the terms: -4 + 8p = 6(-6 + p) + -8 -4 + 8p = (-6 * 6 + p * 6) + -8 -4 + 8p = (-36 + 6p) + -8 Reorder the terms: -4 + 8p = -36 + -8 + 6p Combine like terms: -36 + -8 = -44 -4 + 8p = -44 + 6p Solving -4 + 8p = -44 + 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. -4 + 8p + -6p = -44 + 6p + -6p Combine like terms: 8p + -6p = 2p -4 + 2p = -44 + 6p + -6p Combine like terms: 6p + -6p = 0 -4 + 2p = -44 + 0 -4 + 2p = -44 Add '4' to each side of the equation. -4 + 4 + 2p = -44 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = -44 + 4 2p = -44 + 4 Combine like terms: -44 + 4 = -40 2p = -40 Divide each side by '2'. p = -20 Simplifying p = -20
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