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Simplifying 5.8(p + 4.2) = 30.24 + 4.4p Reorder the terms: 5.8(4.2 + p) = 30.24 + 4.4p (4.2 * 5.8 + p * 5.8) = 30.24 + 4.4p (24.36 + 5.8p) = 30.24 + 4.4p Solving 24.36 + 5.8p = 30.24 + 4.4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.4p' to each side of the equation. 24.36 + 5.8p + -4.4p = 30.24 + 4.4p + -4.4p Combine like terms: 5.8p + -4.4p = 1.4p 24.36 + 1.4p = 30.24 + 4.4p + -4.4p Combine like terms: 4.4p + -4.4p = 0.0 24.36 + 1.4p = 30.24 + 0.0 24.36 + 1.4p = 30.24 Add '-24.36' to each side of the equation. 24.36 + -24.36 + 1.4p = 30.24 + -24.36 Combine like terms: 24.36 + -24.36 = 0.00 0.00 + 1.4p = 30.24 + -24.36 1.4p = 30.24 + -24.36 Combine like terms: 30.24 + -24.36 = 5.88 1.4p = 5.88 Divide each side by '1.4'. p = 4.2 Simplifying p = 4.2
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