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Simplifying 5p + -9 = 8p + 12 Reorder the terms: -9 + 5p = 8p + 12 Reorder the terms: -9 + 5p = 12 + 8p Solving -9 + 5p = 12 + 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. -9 + 5p + -8p = 12 + 8p + -8p Combine like terms: 5p + -8p = -3p -9 + -3p = 12 + 8p + -8p Combine like terms: 8p + -8p = 0 -9 + -3p = 12 + 0 -9 + -3p = 12 Add '9' to each side of the equation. -9 + 9 + -3p = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -3p = 12 + 9 -3p = 12 + 9 Combine like terms: 12 + 9 = 21 -3p = 21 Divide each side by '-3'. p = -7 Simplifying p = -7
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