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Simplifying 0.2 + 1.3t + -0.8t = 1 + -2.1t + -0.8 Combine like terms: 1.3t + -0.8t = 0.5t 0.2 + 0.5t = 1 + -2.1t + -0.8 Reorder the terms: 0.2 + 0.5t = 1 + -0.8 + -2.1t Combine like terms: 1 + -0.8 = 0.2 0.2 + 0.5t = 0.2 + -2.1t Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.5t = 0.2 + -0.2 + -2.1t Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.5t = 0.2 + -0.2 + -2.1t 0.5t = 0.2 + -0.2 + -2.1t Combine like terms: 0.2 + -0.2 = 0.0 0.5t = 0.0 + -2.1t 0.5t = -2.1t Solving 0.5t = -2.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.1t' to each side of the equation. 0.5t + 2.1t = -2.1t + 2.1t Combine like terms: 0.5t + 2.1t = 2.6t 2.6t = -2.1t + 2.1t Combine like terms: -2.1t + 2.1t = 0.0 2.6t = 0.0 Divide each side by '2.6'. t = 0 Simplifying t = 0
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