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Simplifying -2p + -5(6 + -2p) = 6(p + -6) + -10 -2p + (6 * -5 + -2p * -5) = 6(p + -6) + -10 -2p + (-30 + 10p) = 6(p + -6) + -10 Reorder the terms: -30 + -2p + 10p = 6(p + -6) + -10 Combine like terms: -2p + 10p = 8p -30 + 8p = 6(p + -6) + -10 Reorder the terms: -30 + 8p = 6(-6 + p) + -10 -30 + 8p = (-6 * 6 + p * 6) + -10 -30 + 8p = (-36 + 6p) + -10 Reorder the terms: -30 + 8p = -36 + -10 + 6p Combine like terms: -36 + -10 = -46 -30 + 8p = -46 + 6p Solving -30 + 8p = -46 + 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 = -46 + 6p + -6p Combine like terms: 8p + -6p = 2p -30 + 2p = -46 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 2p = -46 + 0 -30 + 2p = -46 Add '30' to each side of the equation. -30 + 30 + 2p = -46 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -46 + 30 2p = -46 + 30 Combine like terms: -46 + 30 = -16 2p = -16 Divide each side by '2'. p = -8 Simplifying p = -8
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