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Simplifying -2p + -2(6 + -5p) = 4(p + -4) + -12 -2p + (6 * -2 + -5p * -2) = 4(p + -4) + -12 -2p + (-12 + 10p) = 4(p + -4) + -12 Reorder the terms: -12 + -2p + 10p = 4(p + -4) + -12 Combine like terms: -2p + 10p = 8p -12 + 8p = 4(p + -4) + -12 Reorder the terms: -12 + 8p = 4(-4 + p) + -12 -12 + 8p = (-4 * 4 + p * 4) + -12 -12 + 8p = (-16 + 4p) + -12 Reorder the terms: -12 + 8p = -16 + -12 + 4p Combine like terms: -16 + -12 = -28 -12 + 8p = -28 + 4p Solving -12 + 8p = -28 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -12 + 8p + -4p = -28 + 4p + -4p Combine like terms: 8p + -4p = 4p -12 + 4p = -28 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 4p = -28 + 0 -12 + 4p = -28 Add '12' to each side of the equation. -12 + 12 + 4p = -28 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -28 + 12 4p = -28 + 12 Combine like terms: -28 + 12 = -16 4p = -16 Divide each side by '4'. p = -4 Simplifying p = -4
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