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Simplifying 0.4p + 2 = 0.1(p + 5) + 0.3(p + 1) Reorder the terms: 2 + 0.4p = 0.1(p + 5) + 0.3(p + 1) Reorder the terms: 2 + 0.4p = 0.1(5 + p) + 0.3(p + 1) 2 + 0.4p = (5 * 0.1 + p * 0.1) + 0.3(p + 1) 2 + 0.4p = (0.5 + 0.1p) + 0.3(p + 1) Reorder the terms: 2 + 0.4p = 0.5 + 0.1p + 0.3(1 + p) 2 + 0.4p = 0.5 + 0.1p + (1 * 0.3 + p * 0.3) 2 + 0.4p = 0.5 + 0.1p + (0.3 + 0.3p) Reorder the terms: 2 + 0.4p = 0.5 + 0.3 + 0.1p + 0.3p Combine like terms: 0.5 + 0.3 = 0.8 2 + 0.4p = 0.8 + 0.1p + 0.3p Combine like terms: 0.1p + 0.3p = 0.4p 2 + 0.4p = 0.8 + 0.4p Add '-0.4p' to each side of the equation. 2 + 0.4p + -0.4p = 0.8 + 0.4p + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 2 + 0.0 = 0.8 + 0.4p + -0.4p 2 = 0.8 + 0.4p + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 2 = 0.8 + 0.0 2 = 0.8 Solving 2 = 0.8 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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