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Simplifying 6p + 7 = 5p + 12 Reorder the terms: 7 + 6p = 5p + 12 Reorder the terms: 7 + 6p = 12 + 5p Solving 7 + 6p = 12 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 7 + 6p + -5p = 12 + 5p + -5p Combine like terms: 6p + -5p = 1p 7 + 1p = 12 + 5p + -5p Combine like terms: 5p + -5p = 0 7 + 1p = 12 + 0 7 + 1p = 12 Add '-7' to each side of the equation. 7 + -7 + 1p = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1p = 12 + -7 1p = 12 + -7 Combine like terms: 12 + -7 = 5 1p = 5 Divide each side by '1'. p = 5 Simplifying p = 5
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