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Simplifying 0.9t + -0.1(t + -0.2) = -1.8 Reorder the terms: 0.9t + -0.1(-0.2 + t) = -1.8 0.9t + (-0.2 * -0.1 + t * -0.1) = -1.8 0.9t + (0.02 + -0.1t) = -1.8 Reorder the terms: 0.02 + 0.9t + -0.1t = -1.8 Combine like terms: 0.9t + -0.1t = 0.8t 0.02 + 0.8t = -1.8 Solving 0.02 + 0.8t = -1.8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.02' to each side of the equation. 0.02 + -0.02 + 0.8t = -1.8 + -0.02 Combine like terms: 0.02 + -0.02 = 0.00 0.00 + 0.8t = -1.8 + -0.02 0.8t = -1.8 + -0.02 Combine like terms: -1.8 + -0.02 = -1.82 0.8t = -1.82 Divide each side by '0.8'. t = -2.275 Simplifying t = -2.275
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