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Simplifying 3(4p + 2) + 5p = 30 + -1p Reorder the terms: 3(2 + 4p) + 5p = 30 + -1p (2 * 3 + 4p * 3) + 5p = 30 + -1p (6 + 12p) + 5p = 30 + -1p Combine like terms: 12p + 5p = 17p 6 + 17p = 30 + -1p Solving 6 + 17p = 30 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 6 + 17p + p = 30 + -1p + p Combine like terms: 17p + p = 18p 6 + 18p = 30 + -1p + p Combine like terms: -1p + p = 0 6 + 18p = 30 + 0 6 + 18p = 30 Add '-6' to each side of the equation. 6 + -6 + 18p = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 18p = 30 + -6 18p = 30 + -6 Combine like terms: 30 + -6 = 24 18p = 24 Divide each side by '18'. p = 1.333333333 Simplifying p = 1.333333333
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