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Simplifying (12p + -8) + (6p + 14p) = 0 Reorder the terms: (-8 + 12p) + (6p + 14p) = 0 Remove parenthesis around (-8 + 12p) -8 + 12p + (6p + 14p) = 0 Combine like terms: 6p + 14p = 20p -8 + 12p + (20p) = 0 -8 + 12p + (20p) = 0 Combine like terms: 12p + (20p) = 32p -8 + 32p = 0 Solving -8 + 32p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 32p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 32p = 0 + 8 32p = 0 + 8 Combine like terms: 0 + 8 = 8 32p = 8 Divide each side by '32'. p = 0.25 Simplifying p = 0.25
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