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Simplifying 5p + 1 = 8p + -14 Reorder the terms: 1 + 5p = 8p + -14 Reorder the terms: 1 + 5p = -14 + 8p Solving 1 + 5p = -14 + 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. 1 + 5p + -8p = -14 + 8p + -8p Combine like terms: 5p + -8p = -3p 1 + -3p = -14 + 8p + -8p Combine like terms: 8p + -8p = 0 1 + -3p = -14 + 0 1 + -3p = -14 Add '-1' to each side of the equation. 1 + -1 + -3p = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -3p = -14 + -1 -3p = -14 + -1 Combine like terms: -14 + -1 = -15 -3p = -15 Divide each side by '-3'. p = 5 Simplifying p = 5
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