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Simplifying 6t + 19.92 + 19.48 = 2.9t + -19.81 Reorder the terms: 19.92 + 19.48 + 6t = 2.9t + -19.81 Combine like terms: 19.92 + 19.48 = 39.4 39.4 + 6t = 2.9t + -19.81 Reorder the terms: 39.4 + 6t = -19.81 + 2.9t Solving 39.4 + 6t = -19.81 + 2.9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.9t' to each side of the equation. 39.4 + 6t + -2.9t = -19.81 + 2.9t + -2.9t Combine like terms: 6t + -2.9t = 3.1t 39.4 + 3.1t = -19.81 + 2.9t + -2.9t Combine like terms: 2.9t + -2.9t = 0.0 39.4 + 3.1t = -19.81 + 0.0 39.4 + 3.1t = -19.81 Add '-39.4' to each side of the equation. 39.4 + -39.4 + 3.1t = -19.81 + -39.4 Combine like terms: 39.4 + -39.4 = 0.0 0.0 + 3.1t = -19.81 + -39.4 3.1t = -19.81 + -39.4 Combine like terms: -19.81 + -39.4 = -59.21 3.1t = -59.21 Divide each side by '3.1'. t = -19.1 Simplifying t = -19.1
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