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Simplifying 3.8(2p + 3) = 2.4(6 + -1p) Reorder the terms: 3.8(3 + 2p) = 2.4(6 + -1p) (3 * 3.8 + 2p * 3.8) = 2.4(6 + -1p) (11.4 + 7.6p) = 2.4(6 + -1p) 11.4 + 7.6p = (6 * 2.4 + -1p * 2.4) 11.4 + 7.6p = (14.4 + -2.4p) Solving 11.4 + 7.6p = 14.4 + -2.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2.4p' to each side of the equation. 11.4 + 7.6p + 2.4p = 14.4 + -2.4p + 2.4p Combine like terms: 7.6p + 2.4p = 10p 11.4 + 10p = 14.4 + -2.4p + 2.4p Combine like terms: -2.4p + 2.4p = 0.0 11.4 + 10p = 14.4 + 0.0 11.4 + 10p = 14.4 Add '-11.4' to each side of the equation. 11.4 + -11.4 + 10p = 14.4 + -11.4 Combine like terms: 11.4 + -11.4 = 0.0 0.0 + 10p = 14.4 + -11.4 10p = 14.4 + -11.4 Combine like terms: 14.4 + -11.4 = 3 10p = 3 Divide each side by '10'. p = 0.3 Simplifying p = 0.3
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