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Simplifying -8p + -6(6 + -2p) = 2(p + -5) + -12 -8p + (6 * -6 + -2p * -6) = 2(p + -5) + -12 -8p + (-36 + 12p) = 2(p + -5) + -12 Reorder the terms: -36 + -8p + 12p = 2(p + -5) + -12 Combine like terms: -8p + 12p = 4p -36 + 4p = 2(p + -5) + -12 Reorder the terms: -36 + 4p = 2(-5 + p) + -12 -36 + 4p = (-5 * 2 + p * 2) + -12 -36 + 4p = (-10 + 2p) + -12 Reorder the terms: -36 + 4p = -10 + -12 + 2p Combine like terms: -10 + -12 = -22 -36 + 4p = -22 + 2p Solving -36 + 4p = -22 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -36 + 4p + -2p = -22 + 2p + -2p Combine like terms: 4p + -2p = 2p -36 + 2p = -22 + 2p + -2p Combine like terms: 2p + -2p = 0 -36 + 2p = -22 + 0 -36 + 2p = -22 Add '36' to each side of the equation. -36 + 36 + 2p = -22 + 36 Combine like terms: -36 + 36 = 0 0 + 2p = -22 + 36 2p = -22 + 36 Combine like terms: -22 + 36 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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