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Simplifying 0.8p + 4 = 0.5(p + 4) + 0.3(p + 1) Reorder the terms: 4 + 0.8p = 0.5(p + 4) + 0.3(p + 1) Reorder the terms: 4 + 0.8p = 0.5(4 + p) + 0.3(p + 1) 4 + 0.8p = (4 * 0.5 + p * 0.5) + 0.3(p + 1) 4 + 0.8p = (2 + 0.5p) + 0.3(p + 1) Reorder the terms: 4 + 0.8p = 2 + 0.5p + 0.3(1 + p) 4 + 0.8p = 2 + 0.5p + (1 * 0.3 + p * 0.3) 4 + 0.8p = 2 + 0.5p + (0.3 + 0.3p) Reorder the terms: 4 + 0.8p = 2 + 0.3 + 0.5p + 0.3p Combine like terms: 2 + 0.3 = 2.3 4 + 0.8p = 2.3 + 0.5p + 0.3p Combine like terms: 0.5p + 0.3p = 0.8p 4 + 0.8p = 2.3 + 0.8p Add '-0.8p' to each side of the equation. 4 + 0.8p + -0.8p = 2.3 + 0.8p + -0.8p Combine like terms: 0.8p + -0.8p = 0.0 4 + 0.0 = 2.3 + 0.8p + -0.8p 4 = 2.3 + 0.8p + -0.8p Combine like terms: 0.8p + -0.8p = 0.0 4 = 2.3 + 0.0 4 = 2.3 Solving 4 = 2.3 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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