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Simplifying 5p + 7 = 4p + 14 Reorder the terms: 7 + 5p = 4p + 14 Reorder the terms: 7 + 5p = 14 + 4p Solving 7 + 5p = 14 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 7 + 5p + -4p = 14 + 4p + -4p Combine like terms: 5p + -4p = 1p 7 + 1p = 14 + 4p + -4p Combine like terms: 4p + -4p = 0 7 + 1p = 14 + 0 7 + 1p = 14 Add '-7' to each side of the equation. 7 + -7 + 1p = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 1p = 14 + -7 1p = 14 + -7 Combine like terms: 14 + -7 = 7 1p = 7 Divide each side by '1'. p = 7 Simplifying p = 7
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