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Simplifying -16p + -4(3 + -6p) = 4(p + -4) + -36 -16p + (3 * -4 + -6p * -4) = 4(p + -4) + -36 -16p + (-12 + 24p) = 4(p + -4) + -36 Reorder the terms: -12 + -16p + 24p = 4(p + -4) + -36 Combine like terms: -16p + 24p = 8p -12 + 8p = 4(p + -4) + -36 Reorder the terms: -12 + 8p = 4(-4 + p) + -36 -12 + 8p = (-4 * 4 + p * 4) + -36 -12 + 8p = (-16 + 4p) + -36 Reorder the terms: -12 + 8p = -16 + -36 + 4p Combine like terms: -16 + -36 = -52 -12 + 8p = -52 + 4p Solving -12 + 8p = -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. -12 + 8p + -4p = -52 + 4p + -4p Combine like terms: 8p + -4p = 4p -12 + 4p = -52 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 4p = -52 + 0 -12 + 4p = -52 Add '12' to each side of the equation. -12 + 12 + 4p = -52 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = -52 + 12 4p = -52 + 12 Combine like terms: -52 + 12 = -40 4p = -40 Divide each side by '4'. p = -10 Simplifying p = -10
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