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Simplifying 2.6(t + 2) = 2(1.3t + 0.2) + 1.2 Reorder the terms: 2.6(2 + t) = 2(1.3t + 0.2) + 1.2 (2 * 2.6 + t * 2.6) = 2(1.3t + 0.2) + 1.2 (5.2 + 2.6t) = 2(1.3t + 0.2) + 1.2 Reorder the terms: 5.2 + 2.6t = 2(0.2 + 1.3t) + 1.2 5.2 + 2.6t = (0.2 * 2 + 1.3t * 2) + 1.2 5.2 + 2.6t = (0.4 + 2.6t) + 1.2 Reorder the terms: 5.2 + 2.6t = 0.4 + 1.2 + 2.6t Combine like terms: 0.4 + 1.2 = 1.6 5.2 + 2.6t = 1.6 + 2.6t Add '-2.6t' to each side of the equation. 5.2 + 2.6t + -2.6t = 1.6 + 2.6t + -2.6t Combine like terms: 2.6t + -2.6t = 0.0 5.2 + 0.0 = 1.6 + 2.6t + -2.6t 5.2 = 1.6 + 2.6t + -2.6t Combine like terms: 2.6t + -2.6t = 0.0 5.2 = 1.6 + 0.0 5.2 = 1.6 Solving 5.2 = 1.6 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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