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Simplifying 10t + -3(1 + -4t) = 0 10t + (1 * -3 + -4t * -3) = 0 10t + (-3 + 12t) = 0 Reorder the terms: -3 + 10t + 12t = 0 Combine like terms: 10t + 12t = 22t -3 + 22t = 0 Solving -3 + 22t = 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 + 22t = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 22t = 0 + 3 22t = 0 + 3 Combine like terms: 0 + 3 = 3 22t = 3 Divide each side by '22'. t = 0.1363636364 Simplifying t = 0.1363636364
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