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