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Simplifying 9 + -3p = -3(8p + 4) Reorder the terms: 9 + -3p = -3(4 + 8p) 9 + -3p = (4 * -3 + 8p * -3) 9 + -3p = (-12 + -24p) Solving 9 + -3p = -12 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. 9 + -3p + 24p = -12 + -24p + 24p Combine like terms: -3p + 24p = 21p 9 + 21p = -12 + -24p + 24p Combine like terms: -24p + 24p = 0 9 + 21p = -12 + 0 9 + 21p = -12 Add '-9' to each side of the equation. 9 + -9 + 21p = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 21p = -12 + -9 21p = -12 + -9 Combine like terms: -12 + -9 = -21 21p = -21 Divide each side by '21'. p = -1 Simplifying p = -1
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