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Simplifying 0.4t + 0.6(17 + -1t) = 7.8 0.4t + (17 * 0.6 + -1t * 0.6) = 7.8 0.4t + (10.2 + -0.6t) = 7.8 Reorder the terms: 10.2 + 0.4t + -0.6t = 7.8 Combine like terms: 0.4t + -0.6t = -0.2t 10.2 + -0.2t = 7.8 Solving 10.2 + -0.2t = 7.8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10.2' to each side of the equation. 10.2 + -10.2 + -0.2t = 7.8 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -0.2t = 7.8 + -10.2 -0.2t = 7.8 + -10.2 Combine like terms: 7.8 + -10.2 = -2.4 -0.2t = -2.4 Divide each side by '-0.2'. t = 12 Simplifying t = 12
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