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Simplifying 4 + 12p + -1 = 8p + 23 + -6 Reorder the terms: 4 + -1 + 12p = 8p + 23 + -6 Combine like terms: 4 + -1 = 3 3 + 12p = 8p + 23 + -6 Reorder the terms: 3 + 12p = 23 + -6 + 8p Combine like terms: 23 + -6 = 17 3 + 12p = 17 + 8p Solving 3 + 12p = 17 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 3 + 12p + -8p = 17 + 8p + -8p Combine like terms: 12p + -8p = 4p 3 + 4p = 17 + 8p + -8p Combine like terms: 8p + -8p = 0 3 + 4p = 17 + 0 3 + 4p = 17 Add '-3' to each side of the equation. 3 + -3 + 4p = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 4p = 17 + -3 4p = 17 + -3 Combine like terms: 17 + -3 = 14 4p = 14 Divide each side by '4'. p = 3.5 Simplifying p = 3.5
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