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Simplifying 1.12t + 40.23 = -0.97t + 145.21 Reorder the terms: 40.23 + 1.12t = -0.97t + 145.21 Reorder the terms: 40.23 + 1.12t = 145.21 + -0.97t Solving 40.23 + 1.12t = 145.21 + -0.97t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.97t' to each side of the equation. 40.23 + 1.12t + 0.97t = 145.21 + -0.97t + 0.97t Combine like terms: 1.12t + 0.97t = 2.09t 40.23 + 2.09t = 145.21 + -0.97t + 0.97t Combine like terms: -0.97t + 0.97t = 0.00 40.23 + 2.09t = 145.21 + 0.00 40.23 + 2.09t = 145.21 Add '-40.23' to each side of the equation. 40.23 + -40.23 + 2.09t = 145.21 + -40.23 Combine like terms: 40.23 + -40.23 = 0.00 0.00 + 2.09t = 145.21 + -40.23 2.09t = 145.21 + -40.23 Combine like terms: 145.21 + -40.23 = 104.98 2.09t = 104.98 Divide each side by '2.09'. t = 50.22966507 Simplifying t = 50.22966507
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