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Simplifying 0.6p + 4 = 0.5(p + 5) + 0.1(p + 1) Reorder the terms: 4 + 0.6p = 0.5(p + 5) + 0.1(p + 1) Reorder the terms: 4 + 0.6p = 0.5(5 + p) + 0.1(p + 1) 4 + 0.6p = (5 * 0.5 + p * 0.5) + 0.1(p + 1) 4 + 0.6p = (2.5 + 0.5p) + 0.1(p + 1) Reorder the terms: 4 + 0.6p = 2.5 + 0.5p + 0.1(1 + p) 4 + 0.6p = 2.5 + 0.5p + (1 * 0.1 + p * 0.1) 4 + 0.6p = 2.5 + 0.5p + (0.1 + 0.1p) Reorder the terms: 4 + 0.6p = 2.5 + 0.1 + 0.5p + 0.1p Combine like terms: 2.5 + 0.1 = 2.6 4 + 0.6p = 2.6 + 0.5p + 0.1p Combine like terms: 0.5p + 0.1p = 0.6p 4 + 0.6p = 2.6 + 0.6p Add '-0.6p' to each side of the equation. 4 + 0.6p + -0.6p = 2.6 + 0.6p + -0.6p Combine like terms: 0.6p + -0.6p = 0.0 4 + 0.0 = 2.6 + 0.6p + -0.6p 4 = 2.6 + 0.6p + -0.6p Combine like terms: 0.6p + -0.6p = 0.0 4 = 2.6 + 0.0 4 = 2.6 Solving 4 = 2.6 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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