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Simplifying -6(4p + 8) + 8p = -4p Reorder the terms: -6(8 + 4p) + 8p = -4p (8 * -6 + 4p * -6) + 8p = -4p (-48 + -24p) + 8p = -4p Combine like terms: -24p + 8p = -16p -48 + -16p = -4p Solving -48 + -16p = -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. -48 + -16p + 4p = -4p + 4p Combine like terms: -16p + 4p = -12p -48 + -12p = -4p + 4p Combine like terms: -4p + 4p = 0 -48 + -12p = 0 Add '48' to each side of the equation. -48 + 48 + -12p = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -12p = 0 + 48 -12p = 0 + 48 Combine like terms: 0 + 48 = 48 -12p = 48 Divide each side by '-12'. p = -4 Simplifying p = -4
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