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Simplifying 0.08t + 0.5(60 + -1t) = 0 0.08t + (60 * 0.5 + -1t * 0.5) = 0 0.08t + (30 + -0.5t) = 0 Reorder the terms: 30 + 0.08t + -0.5t = 0 Combine like terms: 0.08t + -0.5t = -0.42t 30 + -0.42t = 0 Solving 30 + -0.42t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -0.42t = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -0.42t = 0 + -30 -0.42t = 0 + -30 Combine like terms: 0 + -30 = -30 -0.42t = -30 Divide each side by '-0.42'. t = 71.42857143 Simplifying t = 71.42857143
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