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Simplifying 3t + 5(1 + -4t) = 0 3t + (1 * 5 + -4t * 5) = 0 3t + (5 + -20t) = 0 Reorder the terms: 5 + 3t + -20t = 0 Combine like terms: 3t + -20t = -17t 5 + -17t = 0 Solving 5 + -17t = 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 + -17t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -17t = 0 + -5 -17t = 0 + -5 Combine like terms: 0 + -5 = -5 -17t = -5 Divide each side by '-17'. t = 0.2941176471 Simplifying t = 0.2941176471
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