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Simplifying 0.7p + 4 = 0.4(p + 6) + 0.3(p + 1) Reorder the terms: 4 + 0.7p = 0.4(p + 6) + 0.3(p + 1) Reorder the terms: 4 + 0.7p = 0.4(6 + p) + 0.3(p + 1) 4 + 0.7p = (6 * 0.4 + p * 0.4) + 0.3(p + 1) 4 + 0.7p = (2.4 + 0.4p) + 0.3(p + 1) Reorder the terms: 4 + 0.7p = 2.4 + 0.4p + 0.3(1 + p) 4 + 0.7p = 2.4 + 0.4p + (1 * 0.3 + p * 0.3) 4 + 0.7p = 2.4 + 0.4p + (0.3 + 0.3p) Reorder the terms: 4 + 0.7p = 2.4 + 0.3 + 0.4p + 0.3p Combine like terms: 2.4 + 0.3 = 2.7 4 + 0.7p = 2.7 + 0.4p + 0.3p Combine like terms: 0.4p + 0.3p = 0.7p 4 + 0.7p = 2.7 + 0.7p Add '-0.7p' to each side of the equation. 4 + 0.7p + -0.7p = 2.7 + 0.7p + -0.7p Combine like terms: 0.7p + -0.7p = 0.0 4 + 0.0 = 2.7 + 0.7p + -0.7p 4 = 2.7 + 0.7p + -0.7p Combine like terms: 0.7p + -0.7p = 0.0 4 = 2.7 + 0.0 4 = 2.7 Solving 4 = 2.7 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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