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Simplifying 0.05(t + 8) + -0.01t = 0.6 Reorder the terms: 0.05(8 + t) + -0.01t = 0.6 (8 * 0.05 + t * 0.05) + -0.01t = 0.6 (0.4 + 0.05t) + -0.01t = 0.6 Combine like terms: 0.05t + -0.01t = 0.04t 0.4 + 0.04t = 0.6 Solving 0.4 + 0.04t = 0.6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.04t = 0.6 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.04t = 0.6 + -0.4 0.04t = 0.6 + -0.4 Combine like terms: 0.6 + -0.4 = 0.2 0.04t = 0.2 Divide each side by '0.04'. t = 5 Simplifying t = 5
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