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Simplifying 5.4t + 14.6t + -10.1t = 12.8 + -3.5t + -0.6 Combine like terms: 5.4t + 14.6t = 20t 20t + -10.1t = 12.8 + -3.5t + -0.6 Combine like terms: 20t + -10.1t = 9.9t 9.9t = 12.8 + -3.5t + -0.6 Reorder the terms: 9.9t = 12.8 + -0.6 + -3.5t Combine like terms: 12.8 + -0.6 = 12.2 9.9t = 12.2 + -3.5t Solving 9.9t = 12.2 + -3.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.5t' to each side of the equation. 9.9t + 3.5t = 12.2 + -3.5t + 3.5t Combine like terms: 9.9t + 3.5t = 13.4t 13.4t = 12.2 + -3.5t + 3.5t Combine like terms: -3.5t + 3.5t = 0.0 13.4t = 12.2 + 0.0 13.4t = 12.2 Divide each side by '13.4'. t = 0.9104477612 Simplifying t = 0.9104477612
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