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Simplifying 0 = 0.08t + 0.05(40 + -1t) 0 = 0.08t + (40 * 0.05 + -1t * 0.05) 0 = 0.08t + (2 + -0.05t) Reorder the terms: 0 = 2 + 0.08t + -0.05t Combine like terms: 0.08t + -0.05t = 0.03t 0 = 2 + 0.03t Solving 0 = 2 + 0.03t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.03t' to each side of the equation. 0 + -0.03t = 2 + 0.03t + -0.03t Remove the zero: -0.03t = 2 + 0.03t + -0.03t Combine like terms: 0.03t + -0.03t = 0.00 -0.03t = 2 + 0.00 -0.03t = 2 Divide each side by '-0.03'. t = -66.66666667 Simplifying t = -66.66666667
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