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Simplifying -3(-3p + -3) + 12p = -1(4p + -9) Reorder the terms: -3(-3 + -3p) + 12p = -1(4p + -9) (-3 * -3 + -3p * -3) + 12p = -1(4p + -9) (9 + 9p) + 12p = -1(4p + -9) Combine like terms: 9p + 12p = 21p 9 + 21p = -1(4p + -9) Reorder the terms: 9 + 21p = -1(-9 + 4p) 9 + 21p = (-9 * -1 + 4p * -1) 9 + 21p = (9 + -4p) Add '-9' to each side of the equation. 9 + -9 + 21p = 9 + -9 + -4p Combine like terms: 9 + -9 = 0 0 + 21p = 9 + -9 + -4p 21p = 9 + -9 + -4p Combine like terms: 9 + -9 = 0 21p = 0 + -4p 21p = -4p Solving 21p = -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. 21p + 4p = -4p + 4p Combine like terms: 21p + 4p = 25p 25p = -4p + 4p Combine like terms: -4p + 4p = 0 25p = 0 Divide each side by '25'. p = 0 Simplifying p = 0
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