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Simplifying 0.5p + 4 = 0.1(p + 8) + 0.4(p + 1) Reorder the terms: 4 + 0.5p = 0.1(p + 8) + 0.4(p + 1) Reorder the terms: 4 + 0.5p = 0.1(8 + p) + 0.4(p + 1) 4 + 0.5p = (8 * 0.1 + p * 0.1) + 0.4(p + 1) 4 + 0.5p = (0.8 + 0.1p) + 0.4(p + 1) Reorder the terms: 4 + 0.5p = 0.8 + 0.1p + 0.4(1 + p) 4 + 0.5p = 0.8 + 0.1p + (1 * 0.4 + p * 0.4) 4 + 0.5p = 0.8 + 0.1p + (0.4 + 0.4p) Reorder the terms: 4 + 0.5p = 0.8 + 0.4 + 0.1p + 0.4p Combine like terms: 0.8 + 0.4 = 1.2 4 + 0.5p = 1.2 + 0.1p + 0.4p Combine like terms: 0.1p + 0.4p = 0.5p 4 + 0.5p = 1.2 + 0.5p Add '-0.5p' to each side of the equation. 4 + 0.5p + -0.5p = 1.2 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 4 + 0.0 = 1.2 + 0.5p + -0.5p 4 = 1.2 + 0.5p + -0.5p Combine like terms: 0.5p + -0.5p = 0.0 4 = 1.2 + 0.0 4 = 1.2 Solving 4 = 1.2 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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