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Simplifying 17 = 2(3p + 1) + -1p Reorder the terms: 17 = 2(1 + 3p) + -1p 17 = (1 * 2 + 3p * 2) + -1p 17 = (2 + 6p) + -1p Combine like terms: 6p + -1p = 5p 17 = 2 + 5p Solving 17 = 2 + 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. 17 + -5p = 2 + 5p + -5p Combine like terms: 5p + -5p = 0 17 + -5p = 2 + 0 17 + -5p = 2 Add '-17' to each side of the equation. 17 + -17 + -5p = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -5p = 2 + -17 -5p = 2 + -17 Combine like terms: 2 + -17 = -15 -5p = -15 Divide each side by '-5'. p = 3 Simplifying p = 3
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