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Simplifying 3p + 12 = 8p + -23 Reorder the terms: 12 + 3p = 8p + -23 Reorder the terms: 12 + 3p = -23 + 8p Solving 12 + 3p = -23 + 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. 12 + 3p + -8p = -23 + 8p + -8p Combine like terms: 3p + -8p = -5p 12 + -5p = -23 + 8p + -8p Combine like terms: 8p + -8p = 0 12 + -5p = -23 + 0 12 + -5p = -23 Add '-12' to each side of the equation. 12 + -12 + -5p = -23 + -12 Combine like terms: 12 + -12 = 0 0 + -5p = -23 + -12 -5p = -23 + -12 Combine like terms: -23 + -12 = -35 -5p = -35 Divide each side by '-5'. p = 7 Simplifying p = 7
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