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Simplifying 1.9t = 0.5(4.0 + -1t) + -0.8 1.9t = (4.0 * 0.5 + -1t * 0.5) + -0.8 1.9t = (2 + -0.5t) + -0.8 Reorder the terms: 1.9t = 2 + -0.8 + -0.5t Combine like terms: 2 + -0.8 = 1.2 1.9t = 1.2 + -0.5t Solving 1.9t = 1.2 + -0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.5t' to each side of the equation. 1.9t + 0.5t = 1.2 + -0.5t + 0.5t Combine like terms: 1.9t + 0.5t = 2.4t 2.4t = 1.2 + -0.5t + 0.5t Combine like terms: -0.5t + 0.5t = 0.0 2.4t = 1.2 + 0.0 2.4t = 1.2 Divide each side by '2.4'. t = 0.5 Simplifying t = 0.5
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