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Simplifying 5p + 8 = 8p + -7 + 12 Reorder the terms: 8 + 5p = 8p + -7 + 12 Reorder the terms: 8 + 5p = -7 + 12 + 8p Combine like terms: -7 + 12 = 5 8 + 5p = 5 + 8p Solving 8 + 5p = 5 + 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. 8 + 5p + -8p = 5 + 8p + -8p Combine like terms: 5p + -8p = -3p 8 + -3p = 5 + 8p + -8p Combine like terms: 8p + -8p = 0 8 + -3p = 5 + 0 8 + -3p = 5 Add '-8' to each side of the equation. 8 + -8 + -3p = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -3p = 5 + -8 -3p = 5 + -8 Combine like terms: 5 + -8 = -3 -3p = -3 Divide each side by '-3'. p = 1 Simplifying p = 1
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