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Simplifying 2t + 3(1 + -5t) = 0 2t + (1 * 3 + -5t * 3) = 0 2t + (3 + -15t) = 0 Reorder the terms: 3 + 2t + -15t = 0 Combine like terms: 2t + -15t = -13t 3 + -13t = 0 Solving 3 + -13t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -13t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -13t = 0 + -3 -13t = 0 + -3 Combine like terms: 0 + -3 = -3 -13t = -3 Divide each side by '-13'. t = 0.2307692308 Simplifying t = 0.2307692308
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