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Simplifying 1.2 + 3.8t = -1(-4t + -2) Reorder the terms: 1.2 + 3.8t = -1(-2 + -4t) 1.2 + 3.8t = (-2 * -1 + -4t * -1) 1.2 + 3.8t = (2 + 4t) Solving 1.2 + 3.8t = 2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 1.2 + 3.8t + -4t = 2 + 4t + -4t Combine like terms: 3.8t + -4t = -0.2t 1.2 + -0.2t = 2 + 4t + -4t Combine like terms: 4t + -4t = 0 1.2 + -0.2t = 2 + 0 1.2 + -0.2t = 2 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.2t = 2 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.2t = 2 + -1.2 -0.2t = 2 + -1.2 Combine like terms: 2 + -1.2 = 0.8 -0.2t = 0.8 Divide each side by '-0.2'. t = -4 Simplifying t = -4
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