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Simplifying -3(2 + 4p) = -34 + -8p (2 * -3 + 4p * -3) = -34 + -8p (-6 + -12p) = -34 + -8p Solving -6 + -12p = -34 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -6 + -12p + 8p = -34 + -8p + 8p Combine like terms: -12p + 8p = -4p -6 + -4p = -34 + -8p + 8p Combine like terms: -8p + 8p = 0 -6 + -4p = -34 + 0 -6 + -4p = -34 Add '6' to each side of the equation. -6 + 6 + -4p = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -4p = -34 + 6 -4p = -34 + 6 Combine like terms: -34 + 6 = -28 -4p = -28 Divide each side by '-4'. p = 7 Simplifying p = 7
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