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Simplifying 0.8p + 2 = 0.4(p + 8) + 0.4(p + 1) Reorder the terms: 2 + 0.8p = 0.4(p + 8) + 0.4(p + 1) Reorder the terms: 2 + 0.8p = 0.4(8 + p) + 0.4(p + 1) 2 + 0.8p = (8 * 0.4 + p * 0.4) + 0.4(p + 1) 2 + 0.8p = (3.2 + 0.4p) + 0.4(p + 1) Reorder the terms: 2 + 0.8p = 3.2 + 0.4p + 0.4(1 + p) 2 + 0.8p = 3.2 + 0.4p + (1 * 0.4 + p * 0.4) 2 + 0.8p = 3.2 + 0.4p + (0.4 + 0.4p) Reorder the terms: 2 + 0.8p = 3.2 + 0.4 + 0.4p + 0.4p Combine like terms: 3.2 + 0.4 = 3.6 2 + 0.8p = 3.6 + 0.4p + 0.4p Combine like terms: 0.4p + 0.4p = 0.8p 2 + 0.8p = 3.6 + 0.8p Add '-0.8p' to each side of the equation. 2 + 0.8p + -0.8p = 3.6 + 0.8p + -0.8p Combine like terms: 0.8p + -0.8p = 0.0 2 + 0.0 = 3.6 + 0.8p + -0.8p 2 = 3.6 + 0.8p + -0.8p Combine like terms: 0.8p + -0.8p = 0.0 2 = 3.6 + 0.0 2 = 3.6 Solving 2 = 3.6 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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