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Simplifying 0.3p + 2 = 0.1(p + 5) + 0.2(p + 1) Reorder the terms: 2 + 0.3p = 0.1(p + 5) + 0.2(p + 1) Reorder the terms: 2 + 0.3p = 0.1(5 + p) + 0.2(p + 1) 2 + 0.3p = (5 * 0.1 + p * 0.1) + 0.2(p + 1) 2 + 0.3p = (0.5 + 0.1p) + 0.2(p + 1) Reorder the terms: 2 + 0.3p = 0.5 + 0.1p + 0.2(1 + p) 2 + 0.3p = 0.5 + 0.1p + (1 * 0.2 + p * 0.2) 2 + 0.3p = 0.5 + 0.1p + (0.2 + 0.2p) Reorder the terms: 2 + 0.3p = 0.5 + 0.2 + 0.1p + 0.2p Combine like terms: 0.5 + 0.2 = 0.7 2 + 0.3p = 0.7 + 0.1p + 0.2p Combine like terms: 0.1p + 0.2p = 0.3p 2 + 0.3p = 0.7 + 0.3p Add '-0.3p' to each side of the equation. 2 + 0.3p + -0.3p = 0.7 + 0.3p + -0.3p Combine like terms: 0.3p + -0.3p = 0.0 2 + 0.0 = 0.7 + 0.3p + -0.3p 2 = 0.7 + 0.3p + -0.3p Combine like terms: 0.3p + -0.3p = 0.0 2 = 0.7 + 0.0 2 = 0.7 Solving 2 = 0.7 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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