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Simplifying 3t + 5(1 + -2t) = 0 3t + (1 * 5 + -2t * 5) = 0 3t + (5 + -10t) = 0 Reorder the terms: 5 + 3t + -10t = 0 Combine like terms: 3t + -10t = -7t 5 + -7t = 0 Solving 5 + -7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7t = 0 + -5 -7t = 0 + -5 Combine like terms: 0 + -5 = -5 -7t = -5 Divide each side by '-7'. t = 0.7142857143 Simplifying t = 0.7142857143
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