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Simplifying -2p + -2(5 + -5p) = 6(p + -6) + -8 -2p + (5 * -2 + -5p * -2) = 6(p + -6) + -8 -2p + (-10 + 10p) = 6(p + -6) + -8 Reorder the terms: -10 + -2p + 10p = 6(p + -6) + -8 Combine like terms: -2p + 10p = 8p -10 + 8p = 6(p + -6) + -8 Reorder the terms: -10 + 8p = 6(-6 + p) + -8 -10 + 8p = (-6 * 6 + p * 6) + -8 -10 + 8p = (-36 + 6p) + -8 Reorder the terms: -10 + 8p = -36 + -8 + 6p Combine like terms: -36 + -8 = -44 -10 + 8p = -44 + 6p Solving -10 + 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. -10 + 8p + -6p = -44 + 6p + -6p Combine like terms: 8p + -6p = 2p -10 + 2p = -44 + 6p + -6p Combine like terms: 6p + -6p = 0 -10 + 2p = -44 + 0 -10 + 2p = -44 Add '10' to each side of the equation. -10 + 10 + 2p = -44 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -44 + 10 2p = -44 + 10 Combine like terms: -44 + 10 = -34 2p = -34 Divide each side by '2'. p = -17 Simplifying p = -17
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