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Simplifying 3(6p + -1) = 9(2 + p) Reorder the terms: 3(-1 + 6p) = 9(2 + p) (-1 * 3 + 6p * 3) = 9(2 + p) (-3 + 18p) = 9(2 + p) -3 + 18p = (2 * 9 + p * 9) -3 + 18p = (18 + 9p) Solving -3 + 18p = 18 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -3 + 18p + -9p = 18 + 9p + -9p Combine like terms: 18p + -9p = 9p -3 + 9p = 18 + 9p + -9p Combine like terms: 9p + -9p = 0 -3 + 9p = 18 + 0 -3 + 9p = 18 Add '3' to each side of the equation. -3 + 3 + 9p = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 9p = 18 + 3 9p = 18 + 3 Combine like terms: 18 + 3 = 21 9p = 21 Divide each side by '9'. p = 2.333333333 Simplifying p = 2.333333333
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