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Simplifying 0.3(3t + 0.1) = 8.43 Reorder the terms: 0.3(0.1 + 3t) = 8.43 (0.1 * 0.3 + 3t * 0.3) = 8.43 (0.03 + 0.9t) = 8.43 Solving 0.03 + 0.9t = 8.43 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.03' to each side of the equation. 0.03 + -0.03 + 0.9t = 8.43 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 0.9t = 8.43 + -0.03 0.9t = 8.43 + -0.03 Combine like terms: 8.43 + -0.03 = 8.4 0.9t = 8.4 Divide each side by '0.9'. t = 9.333333333 Simplifying t = 9.333333333
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