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Simplifying 24p + 9 = -10p + 145 Reorder the terms: 9 + 24p = -10p + 145 Reorder the terms: 9 + 24p = 145 + -10p Solving 9 + 24p = 145 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 9 + 24p + 10p = 145 + -10p + 10p Combine like terms: 24p + 10p = 34p 9 + 34p = 145 + -10p + 10p Combine like terms: -10p + 10p = 0 9 + 34p = 145 + 0 9 + 34p = 145 Add '-9' to each side of the equation. 9 + -9 + 34p = 145 + -9 Combine like terms: 9 + -9 = 0 0 + 34p = 145 + -9 34p = 145 + -9 Combine like terms: 145 + -9 = 136 34p = 136 Divide each side by '34'. p = 4 Simplifying p = 4
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