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Simplifying 4t + -1(3t + -1) = 0 Reorder the terms: 4t + -1(-1 + 3t) = 0 4t + (-1 * -1 + 3t * -1) = 0 4t + (1 + -3t) = 0 Reorder the terms: 1 + 4t + -3t = 0 Combine like terms: 4t + -3t = 1t 1 + 1t = 0 Solving 1 + 1t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1t = 0 + -1 1t = 0 + -1 Combine like terms: 0 + -1 = -1 1t = -1 Divide each side by '1'. t = -1 Simplifying t = -1
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