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Simplifying 0.3p + 0.4 = 0.28p + 1.16 Reorder the terms: 0.4 + 0.3p = 0.28p + 1.16 Reorder the terms: 0.4 + 0.3p = 1.16 + 0.28p Solving 0.4 + 0.3p = 1.16 + 0.28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.28p' to each side of the equation. 0.4 + 0.3p + -0.28p = 1.16 + 0.28p + -0.28p Combine like terms: 0.3p + -0.28p = 0.02p 0.4 + 0.02p = 1.16 + 0.28p + -0.28p Combine like terms: 0.28p + -0.28p = 0.00 0.4 + 0.02p = 1.16 + 0.00 0.4 + 0.02p = 1.16 Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.02p = 1.16 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.02p = 1.16 + -0.4 0.02p = 1.16 + -0.4 Combine like terms: 1.16 + -0.4 = 0.76 0.02p = 0.76 Divide each side by '0.02'. p = 38 Simplifying p = 38
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