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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 = -2t 3 + -2t = 0 Solving 3 + -2t = 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 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5
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