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Simplifying 0.6p + 4 = 0.3(p + 5) + 0.3(p + 1) Reorder the terms: 4 + 0.6p = 0.3(p + 5) + 0.3(p + 1) Reorder the terms: 4 + 0.6p = 0.3(5 + p) + 0.3(p + 1) 4 + 0.6p = (5 * 0.3 + p * 0.3) + 0.3(p + 1) 4 + 0.6p = (1.5 + 0.3p) + 0.3(p + 1) Reorder the terms: 4 + 0.6p = 1.5 + 0.3p + 0.3(1 + p) 4 + 0.6p = 1.5 + 0.3p + (1 * 0.3 + p * 0.3) 4 + 0.6p = 1.5 + 0.3p + (0.3 + 0.3p) Reorder the terms: 4 + 0.6p = 1.5 + 0.3 + 0.3p + 0.3p Combine like terms: 1.5 + 0.3 = 1.8 4 + 0.6p = 1.8 + 0.3p + 0.3p Combine like terms: 0.3p + 0.3p = 0.6p 4 + 0.6p = 1.8 + 0.6p Add '-0.6p' to each side of the equation. 4 + 0.6p + -0.6p = 1.8 + 0.6p + -0.6p Combine like terms: 0.6p + -0.6p = 0.0 4 + 0.0 = 1.8 + 0.6p + -0.6p 4 = 1.8 + 0.6p + -0.6p Combine like terms: 0.6p + -0.6p = 0.0 4 = 1.8 + 0.0 4 = 1.8 Solving 4 = 1.8 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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