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Simplifying -3(4p + 4) = -9(3p + -2) Reorder the terms: -3(4 + 4p) = -9(3p + -2) (4 * -3 + 4p * -3) = -9(3p + -2) (-12 + -12p) = -9(3p + -2) Reorder the terms: -12 + -12p = -9(-2 + 3p) -12 + -12p = (-2 * -9 + 3p * -9) -12 + -12p = (18 + -27p) Solving -12 + -12p = 18 + -27p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '27p' to each side of the equation. -12 + -12p + 27p = 18 + -27p + 27p Combine like terms: -12p + 27p = 15p -12 + 15p = 18 + -27p + 27p Combine like terms: -27p + 27p = 0 -12 + 15p = 18 + 0 -12 + 15p = 18 Add '12' to each side of the equation. -12 + 12 + 15p = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 15p = 18 + 12 15p = 18 + 12 Combine like terms: 18 + 12 = 30 15p = 30 Divide each side by '15'. p = 2 Simplifying p = 2
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