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Simplifying 4.05p + 14.40 = 4.60[p + 3] Reorder the terms: 14.40 + 4.05p = 4.60[p + 3] Reorder the terms: 14.40 + 4.05p = 4.60[3 + p] 14.40 + 4.05p = [3 * 4.60 + p * 4.60] 14.40 + 4.05p = [13.8 + 4.60p] Solving 14.40 + 4.05p = 13.8 + 4.60p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4.60p' to each side of the equation. 14.40 + 4.05p + -4.60p = 13.8 + 4.60p + -4.60p Combine like terms: 4.05p + -4.60p = -0.55p 14.40 + -0.55p = 13.8 + 4.60p + -4.60p Combine like terms: 4.60p + -4.60p = 0.00 14.40 + -0.55p = 13.8 + 0.00 14.40 + -0.55p = 13.8 Add '-14.40' to each side of the equation. 14.40 + -14.40 + -0.55p = 13.8 + -14.40 Combine like terms: 14.40 + -14.40 = 0.00 0.00 + -0.55p = 13.8 + -14.40 -0.55p = 13.8 + -14.40 Combine like terms: 13.8 + -14.40 = -0.6 -0.55p = -0.6 Divide each side by '-0.55'. p = 1.090909091 Simplifying p = 1.090909091
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