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Simplifying 0.5p + 5 = 0.2(p + 4) + 0.3(p + 1) Reorder the terms: 5 + 0.5p = 0.2(p + 4) + 0.3(p + 1) Reorder the terms: 5 + 0.5p = 0.2(4 + p) + 0.3(p + 1) 5 + 0.5p = (4 * 0.2 + p * 0.2) + 0.3(p + 1) 5 + 0.5p = (0.8 + 0.2p) + 0.3(p + 1) Reorder the terms: 5 + 0.5p = 0.8 + 0.2p + 0.3(1 + p) 5 + 0.5p = 0.8 + 0.2p + (1 * 0.3 + p * 0.3) 5 + 0.5p = 0.8 + 0.2p + (0.3 + 0.3p) Reorder the terms: 5 + 0.5p = 0.8 + 0.3 + 0.2p + 0.3p Combine like terms: 0.8 + 0.3 = 1.1 5 + 0.5p = 1.1 + 0.2p + 0.3p Combine like terms: 0.2p + 0.3p = 0.5p 5 + 0.5p = 1.1 + 0.5p Add '-0.5p' to each side of the equation. 5 + 0.5p + -0.5p = 1.1 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 5 + 0.0 = 1.1 + 0.5p + -0.5p 5 = 1.1 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 5 = 1.1 + 0.0 5 = 1.1 Solving 5 = 1.1 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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