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Simplifying 7 = 9p + 2(4p + 1) Reorder the terms: 7 = 9p + 2(1 + 4p) 7 = 9p + (1 * 2 + 4p * 2) 7 = 9p + (2 + 8p) Reorder the terms: 7 = 2 + 9p + 8p Combine like terms: 9p + 8p = 17p 7 = 2 + 17p Solving 7 = 2 + 17p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-17p' to each side of the equation. 7 + -17p = 2 + 17p + -17p Combine like terms: 17p + -17p = 0 7 + -17p = 2 + 0 7 + -17p = 2 Add '-7' to each side of the equation. 7 + -7 + -17p = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -17p = 2 + -7 -17p = 2 + -7 Combine like terms: 2 + -7 = -5 -17p = -5 Divide each side by '-17'. p = 0.2941176471 Simplifying p = 0.2941176471
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