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Simplifying 0.2t + -0.4 + 0.4t = 0.6 + -0.10t Reorder the terms: -0.4 + 0.2t + 0.4t = 0.6 + -0.10t Combine like terms: 0.2t + 0.4t = 0.6t -0.4 + 0.6t = 0.6 + -0.10t Solving -0.4 + 0.6t = 0.6 + -0.10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.10t' to each side of the equation. -0.4 + 0.6t + 0.10t = 0.6 + -0.10t + 0.10t Combine like terms: 0.6t + 0.10t = 0.7t -0.4 + 0.7t = 0.6 + -0.10t + 0.10t Combine like terms: -0.10t + 0.10t = 0.00 -0.4 + 0.7t = 0.6 + 0.00 -0.4 + 0.7t = 0.6 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.7t = 0.6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.7t = 0.6 + 0.4 0.7t = 0.6 + 0.4 Combine like terms: 0.6 + 0.4 = 1 0.7t = 1 Divide each side by '0.7'. t = 1.428571429 Simplifying t = 1.428571429
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