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Simplifying -16p + -4(2 + -6p) = 4(p + -3) + -8 -16p + (2 * -4 + -6p * -4) = 4(p + -3) + -8 -16p + (-8 + 24p) = 4(p + -3) + -8 Reorder the terms: -8 + -16p + 24p = 4(p + -3) + -8 Combine like terms: -16p + 24p = 8p -8 + 8p = 4(p + -3) + -8 Reorder the terms: -8 + 8p = 4(-3 + p) + -8 -8 + 8p = (-3 * 4 + p * 4) + -8 -8 + 8p = (-12 + 4p) + -8 Reorder the terms: -8 + 8p = -12 + -8 + 4p Combine like terms: -12 + -8 = -20 -8 + 8p = -20 + 4p Solving -8 + 8p = -20 + 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. -8 + 8p + -4p = -20 + 4p + -4p Combine like terms: 8p + -4p = 4p -8 + 4p = -20 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 4p = -20 + 0 -8 + 4p = -20 Add '8' to each side of the equation. -8 + 8 + 4p = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 4p = -20 + 8 4p = -20 + 8 Combine like terms: -20 + 8 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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