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Simplifying 0.7p + 3 = 0.5(p + 4) + 0.2(p + 1) Reorder the terms: 3 + 0.7p = 0.5(p + 4) + 0.2(p + 1) Reorder the terms: 3 + 0.7p = 0.5(4 + p) + 0.2(p + 1) 3 + 0.7p = (4 * 0.5 + p * 0.5) + 0.2(p + 1) 3 + 0.7p = (2 + 0.5p) + 0.2(p + 1) Reorder the terms: 3 + 0.7p = 2 + 0.5p + 0.2(1 + p) 3 + 0.7p = 2 + 0.5p + (1 * 0.2 + p * 0.2) 3 + 0.7p = 2 + 0.5p + (0.2 + 0.2p) Reorder the terms: 3 + 0.7p = 2 + 0.2 + 0.5p + 0.2p Combine like terms: 2 + 0.2 = 2.2 3 + 0.7p = 2.2 + 0.5p + 0.2p Combine like terms: 0.5p + 0.2p = 0.7p 3 + 0.7p = 2.2 + 0.7p Add '-0.7p' to each side of the equation. 3 + 0.7p + -0.7p = 2.2 + 0.7p + -0.7p Combine like terms: 0.7p + -0.7p = 0.0 3 + 0.0 = 2.2 + 0.7p + -0.7p 3 = 2.2 + 0.7p + -0.7p Combine like terms: 0.7p + -0.7p = 0.0 3 = 2.2 + 0.0 3 = 2.2 Solving 3 = 2.2 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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