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Simplifying 9 + 10p + -7 = 7p + 23 + -4p Reorder the terms: 9 + -7 + 10p = 7p + 23 + -4p Combine like terms: 9 + -7 = 2 2 + 10p = 7p + 23 + -4p Reorder the terms: 2 + 10p = 23 + 7p + -4p Combine like terms: 7p + -4p = 3p 2 + 10p = 23 + 3p Solving 2 + 10p = 23 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 2 + 10p + -3p = 23 + 3p + -3p Combine like terms: 10p + -3p = 7p 2 + 7p = 23 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + 7p = 23 + 0 2 + 7p = 23 Add '-2' to each side of the equation. 2 + -2 + 7p = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 7p = 23 + -2 7p = 23 + -2 Combine like terms: 23 + -2 = 21 7p = 21 Divide each side by '7'. p = 3 Simplifying p = 3
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