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Simplifying 0.8p + 4 = 0.4(p + 4) + 0.4(p + 1) Reorder the terms: 4 + 0.8p = 0.4(p + 4) + 0.4(p + 1) Reorder the terms: 4 + 0.8p = 0.4(4 + p) + 0.4(p + 1) 4 + 0.8p = (4 * 0.4 + p * 0.4) + 0.4(p + 1) 4 + 0.8p = (1.6 + 0.4p) + 0.4(p + 1) Reorder the terms: 4 + 0.8p = 1.6 + 0.4p + 0.4(1 + p) 4 + 0.8p = 1.6 + 0.4p + (1 * 0.4 + p * 0.4) 4 + 0.8p = 1.6 + 0.4p + (0.4 + 0.4p) Reorder the terms: 4 + 0.8p = 1.6 + 0.4 + 0.4p + 0.4p Combine like terms: 1.6 + 0.4 = 2 4 + 0.8p = 2 + 0.4p + 0.4p Combine like terms: 0.4p + 0.4p = 0.8p 4 + 0.8p = 2 + 0.8p Add '-0.8p' to each side of the equation. 4 + 0.8p + -0.8p = 2 + 0.8p + -0.8p Combine like terms: 0.8p + -0.8p = 0.0 4 + 0.0 = 2 + 0.8p + -0.8p 4 = 2 + 0.8p + -0.8p Combine like terms: 0.8p + -0.8p = 0.0 4 = 2 + 0.0 4 = 2 Solving 4 = 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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