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Simplifying 9(2p + 1) = 5(x + 6) Reorder the terms: 9(1 + 2p) = 5(x + 6) (1 * 9 + 2p * 9) = 5(x + 6) (9 + 18p) = 5(x + 6) Reorder the terms: 9 + 18p = 5(6 + x) 9 + 18p = (6 * 5 + x * 5) 9 + 18p = (30 + 5x) Solving 9 + 18p = 30 + 5x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 18p = 30 + -9 + 5x Combine like terms: 9 + -9 = 0 0 + 18p = 30 + -9 + 5x 18p = 30 + -9 + 5x Combine like terms: 30 + -9 = 21 18p = 21 + 5x Divide each side by '18'. p = 1.166666667 + 0.2777777778x Simplifying p = 1.166666667 + 0.2777777778x
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