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Simplifying -32p + -6(5 + -6p) = 2(p + -5) + -4 -32p + (5 * -6 + -6p * -6) = 2(p + -5) + -4 -32p + (-30 + 36p) = 2(p + -5) + -4 Reorder the terms: -30 + -32p + 36p = 2(p + -5) + -4 Combine like terms: -32p + 36p = 4p -30 + 4p = 2(p + -5) + -4 Reorder the terms: -30 + 4p = 2(-5 + p) + -4 -30 + 4p = (-5 * 2 + p * 2) + -4 -30 + 4p = (-10 + 2p) + -4 Reorder the terms: -30 + 4p = -10 + -4 + 2p Combine like terms: -10 + -4 = -14 -30 + 4p = -14 + 2p Solving -30 + 4p = -14 + 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. -30 + 4p + -2p = -14 + 2p + -2p Combine like terms: 4p + -2p = 2p -30 + 2p = -14 + 2p + -2p Combine like terms: 2p + -2p = 0 -30 + 2p = -14 + 0 -30 + 2p = -14 Add '30' to each side of the equation. -30 + 30 + 2p = -14 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -14 + 30 2p = -14 + 30 Combine like terms: -14 + 30 = 16 2p = 16 Divide each side by '2'. p = 8 Simplifying p = 8
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