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Simplifying (8p + -6) = -4(p + 6) + -12 Reorder the terms: (-6 + 8p) = -4(p + 6) + -12 Remove parenthesis around (-6 + 8p) -6 + 8p = -4(p + 6) + -12 Reorder the terms: -6 + 8p = -4(6 + p) + -12 -6 + 8p = (6 * -4 + p * -4) + -12 -6 + 8p = (-24 + -4p) + -12 Reorder the terms: -6 + 8p = -24 + -12 + -4p Combine like terms: -24 + -12 = -36 -6 + 8p = -36 + -4p Solving -6 + 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. -6 + 8p + 4p = -36 + -4p + 4p Combine like terms: 8p + 4p = 12p -6 + 12p = -36 + -4p + 4p Combine like terms: -4p + 4p = 0 -6 + 12p = -36 + 0 -6 + 12p = -36 Add '6' to each side of the equation. -6 + 6 + 12p = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 12p = -36 + 6 12p = -36 + 6 Combine like terms: -36 + 6 = -30 12p = -30 Divide each side by '12'. p = -2.5 Simplifying p = -2.5
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