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Simplifying -32p + -6(2 + -6p) = 2(p + -5) + -2 -32p + (2 * -6 + -6p * -6) = 2(p + -5) + -2 -32p + (-12 + 36p) = 2(p + -5) + -2 Reorder the terms: -12 + -32p + 36p = 2(p + -5) + -2 Combine like terms: -32p + 36p = 4p -12 + 4p = 2(p + -5) + -2 Reorder the terms: -12 + 4p = 2(-5 + p) + -2 -12 + 4p = (-5 * 2 + p * 2) + -2 -12 + 4p = (-10 + 2p) + -2 Reorder the terms: -12 + 4p = -10 + -2 + 2p Combine like terms: -10 + -2 = -12 -12 + 4p = -12 + 2p Add '12' to each side of the equation. -12 + 12 + 4p = -12 + 12 + 2p Combine like terms: -12 + 12 = 0 0 + 4p = -12 + 12 + 2p 4p = -12 + 12 + 2p Combine like terms: -12 + 12 = 0 4p = 0 + 2p 4p = 2p Solving 4p = 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. 4p + -2p = 2p + -2p Combine like terms: 4p + -2p = 2p 2p = 2p + -2p Combine like terms: 2p + -2p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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