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Simplifying -8p + -4(4 + -6p) = 4(p + -4) + -36 -8p + (4 * -4 + -6p * -4) = 4(p + -4) + -36 -8p + (-16 + 24p) = 4(p + -4) + -36 Reorder the terms: -16 + -8p + 24p = 4(p + -4) + -36 Combine like terms: -8p + 24p = 16p -16 + 16p = 4(p + -4) + -36 Reorder the terms: -16 + 16p = 4(-4 + p) + -36 -16 + 16p = (-4 * 4 + p * 4) + -36 -16 + 16p = (-16 + 4p) + -36 Reorder the terms: -16 + 16p = -16 + -36 + 4p Combine like terms: -16 + -36 = -52 -16 + 16p = -52 + 4p Solving -16 + 16p = -52 + 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. -16 + 16p + -4p = -52 + 4p + -4p Combine like terms: 16p + -4p = 12p -16 + 12p = -52 + 4p + -4p Combine like terms: 4p + -4p = 0 -16 + 12p = -52 + 0 -16 + 12p = -52 Add '16' to each side of the equation. -16 + 16 + 12p = -52 + 16 Combine like terms: -16 + 16 = 0 0 + 12p = -52 + 16 12p = -52 + 16 Combine like terms: -52 + 16 = -36 12p = -36 Divide each side by '12'. p = -3 Simplifying p = -3
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