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Simplifying 5 + 12p + -2 = 8p + 45 + -3p Reorder the terms: 5 + -2 + 12p = 8p + 45 + -3p Combine like terms: 5 + -2 = 3 3 + 12p = 8p + 45 + -3p Reorder the terms: 3 + 12p = 45 + 8p + -3p Combine like terms: 8p + -3p = 5p 3 + 12p = 45 + 5p Solving 3 + 12p = 45 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 3 + 12p + -5p = 45 + 5p + -5p Combine like terms: 12p + -5p = 7p 3 + 7p = 45 + 5p + -5p Combine like terms: 5p + -5p = 0 3 + 7p = 45 + 0 3 + 7p = 45 Add '-3' to each side of the equation. 3 + -3 + 7p = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 7p = 45 + -3 7p = 45 + -3 Combine like terms: 45 + -3 = 42 7p = 42 Divide each side by '7'. p = 6 Simplifying p = 6
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