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Simplifying 5.4(2 + -1p) = 1.4(p + 2) (2 * 5.4 + -1p * 5.4) = 1.4(p + 2) (10.8 + -5.4p) = 1.4(p + 2) Reorder the terms: 10.8 + -5.4p = 1.4(2 + p) 10.8 + -5.4p = (2 * 1.4 + p * 1.4) 10.8 + -5.4p = (2.8 + 1.4p) Solving 10.8 + -5.4p = 2.8 + 1.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.4p' to each side of the equation. 10.8 + -5.4p + -1.4p = 2.8 + 1.4p + -1.4p Combine like terms: -5.4p + -1.4p = -6.8p 10.8 + -6.8p = 2.8 + 1.4p + -1.4p Combine like terms: 1.4p + -1.4p = 0.0 10.8 + -6.8p = 2.8 + 0.0 10.8 + -6.8p = 2.8 Add '-10.8' to each side of the equation. 10.8 + -10.8 + -6.8p = 2.8 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + -6.8p = 2.8 + -10.8 -6.8p = 2.8 + -10.8 Combine like terms: 2.8 + -10.8 = -8 -6.8p = -8 Divide each side by '-6.8'. p = 1.176470588 Simplifying p = 1.176470588
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