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Simplifying 0.2p + 7 = 0.3p + 5 Reorder the terms: 7 + 0.2p = 0.3p + 5 Reorder the terms: 7 + 0.2p = 5 + 0.3p Solving 7 + 0.2p = 5 + 0.3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.3p' to each side of the equation. 7 + 0.2p + -0.3p = 5 + 0.3p + -0.3p Combine like terms: 0.2p + -0.3p = -0.1p 7 + -0.1p = 5 + 0.3p + -0.3p Combine like terms: 0.3p + -0.3p = 0.0 7 + -0.1p = 5 + 0.0 7 + -0.1p = 5 Add '-7' to each side of the equation. 7 + -7 + -0.1p = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -0.1p = 5 + -7 -0.1p = 5 + -7 Combine like terms: 5 + -7 = -2 -0.1p = -2 Divide each side by '-0.1'. p = 20 Simplifying p = 20
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