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Simplifying 5p + -12 = 2 + 8p + -14 Reorder the terms: -12 + 5p = 2 + 8p + -14 Reorder the terms: -12 + 5p = 2 + -14 + 8p Combine like terms: 2 + -14 = -12 -12 + 5p = -12 + 8p Add '12' to each side of the equation. -12 + 12 + 5p = -12 + 12 + 8p Combine like terms: -12 + 12 = 0 0 + 5p = -12 + 12 + 8p 5p = -12 + 12 + 8p Combine like terms: -12 + 12 = 0 5p = 0 + 8p 5p = 8p Solving 5p = 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. 5p + -8p = 8p + -8p Combine like terms: 5p + -8p = -3p -3p = 8p + -8p Combine like terms: 8p + -8p = 0 -3p = 0 Divide each side by '-3'. p = 0 Simplifying p = 0
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