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Simplifying 0.7p + 5 = 0.3(p + 8) + 0.4(p + 1) Reorder the terms: 5 + 0.7p = 0.3(p + 8) + 0.4(p + 1) Reorder the terms: 5 + 0.7p = 0.3(8 + p) + 0.4(p + 1) 5 + 0.7p = (8 * 0.3 + p * 0.3) + 0.4(p + 1) 5 + 0.7p = (2.4 + 0.3p) + 0.4(p + 1) Reorder the terms: 5 + 0.7p = 2.4 + 0.3p + 0.4(1 + p) 5 + 0.7p = 2.4 + 0.3p + (1 * 0.4 + p * 0.4) 5 + 0.7p = 2.4 + 0.3p + (0.4 + 0.4p) Reorder the terms: 5 + 0.7p = 2.4 + 0.4 + 0.3p + 0.4p Combine like terms: 2.4 + 0.4 = 2.8 5 + 0.7p = 2.8 + 0.3p + 0.4p Combine like terms: 0.3p + 0.4p = 0.7p 5 + 0.7p = 2.8 + 0.7p Add '-0.7p' to each side of the equation. 5 + 0.7p + -0.7p = 2.8 + 0.7p + -0.7p Combine like terms: 0.7p + -0.7p = 0.0 5 + 0.0 = 2.8 + 0.7p + -0.7p 5 = 2.8 + 0.7p + -0.7p Combine like terms: 0.7p + -0.7p = 0.0 5 = 2.8 + 0.0 5 = 2.8 Solving 5 = 2.8 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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