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Simplifying 0.4p + 3 = 0.2(p + 5) + 0.2(p + 1) Reorder the terms: 3 + 0.4p = 0.2(p + 5) + 0.2(p + 1) Reorder the terms: 3 + 0.4p = 0.2(5 + p) + 0.2(p + 1) 3 + 0.4p = (5 * 0.2 + p * 0.2) + 0.2(p + 1) 3 + 0.4p = (1 + 0.2p) + 0.2(p + 1) Reorder the terms: 3 + 0.4p = 1 + 0.2p + 0.2(1 + p) 3 + 0.4p = 1 + 0.2p + (1 * 0.2 + p * 0.2) 3 + 0.4p = 1 + 0.2p + (0.2 + 0.2p) Reorder the terms: 3 + 0.4p = 1 + 0.2 + 0.2p + 0.2p Combine like terms: 1 + 0.2 = 1.2 3 + 0.4p = 1.2 + 0.2p + 0.2p Combine like terms: 0.2p + 0.2p = 0.4p 3 + 0.4p = 1.2 + 0.4p Add '-0.4p' to each side of the equation. 3 + 0.4p + -0.4p = 1.2 + 0.4p + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 3 + 0.0 = 1.2 + 0.4p + -0.4p 3 = 1.2 + 0.4p + -0.4p Combine like terms: 0.4p + -0.4p = 0.0 3 = 1.2 + 0.0 3 = 1.2 Solving 3 = 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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