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Simplifying 5.4t + 14.6 + -10.1 = 12.8 + -3.5t + -0.06 Reorder the terms: 14.6 + -10.1 + 5.4t = 12.8 + -3.5t + -0.06 Combine like terms: 14.6 + -10.1 = 4.5 4.5 + 5.4t = 12.8 + -3.5t + -0.06 Reorder the terms: 4.5 + 5.4t = 12.8 + -0.06 + -3.5t Combine like terms: 12.8 + -0.06 = 12.74 4.5 + 5.4t = 12.74 + -3.5t Solving 4.5 + 5.4t = 12.74 + -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. 4.5 + 5.4t + 3.5t = 12.74 + -3.5t + 3.5t Combine like terms: 5.4t + 3.5t = 8.9t 4.5 + 8.9t = 12.74 + -3.5t + 3.5t Combine like terms: -3.5t + 3.5t = 0.0 4.5 + 8.9t = 12.74 + 0.0 4.5 + 8.9t = 12.74 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 8.9t = 12.74 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 8.9t = 12.74 + -4.5 8.9t = 12.74 + -4.5 Combine like terms: 12.74 + -4.5 = 8.24 8.9t = 8.24 Divide each side by '8.9'. t = 0.9258426966 Simplifying t = 0.9258426966
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