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Simplifying 0.1(t + 5) + 0.2t = 0.3(t + -0.4) Reorder the terms: 0.1(5 + t) + 0.2t = 0.3(t + -0.4) (5 * 0.1 + t * 0.1) + 0.2t = 0.3(t + -0.4) (0.5 + 0.1t) + 0.2t = 0.3(t + -0.4) Combine like terms: 0.1t + 0.2t = 0.3t 0.5 + 0.3t = 0.3(t + -0.4) Reorder the terms: 0.5 + 0.3t = 0.3(-0.4 + t) 0.5 + 0.3t = (-0.4 * 0.3 + t * 0.3) 0.5 + 0.3t = (-0.12 + 0.3t) Add '-0.3t' to each side of the equation. 0.5 + 0.3t + -0.3t = -0.12 + 0.3t + -0.3t Combine like terms: 0.3t + -0.3t = 0.0 0.5 + 0.0 = -0.12 + 0.3t + -0.3t 0.5 = -0.12 + 0.3t + -0.3t Combine like terms: 0.3t + -0.3t = 0.0 0.5 = -0.12 + 0.0 0.5 = -0.12 Solving 0.5 = -0.12 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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