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Simplifying 12(p + 5) = 13p Reorder the terms: 12(5 + p) = 13p (5 * 12 + p * 12) = 13p (60 + 12p) = 13p Solving 60 + 12p = 13p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13p' to each side of the equation. 60 + 12p + -13p = 13p + -13p Combine like terms: 12p + -13p = -1p 60 + -1p = 13p + -13p Combine like terms: 13p + -13p = 0 60 + -1p = 0 Add '-60' to each side of the equation. 60 + -60 + -1p = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1p = 0 + -60 -1p = 0 + -60 Combine like terms: 0 + -60 = -60 -1p = -60 Divide each side by '-1'. p = 60 Simplifying p = 60
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