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Simplifying 3t + -1(t + -4) + 8t = 0 Reorder the terms: 3t + -1(-4 + t) + 8t = 0 3t + (-4 * -1 + t * -1) + 8t = 0 3t + (4 + -1t) + 8t = 0 Reorder the terms: 4 + 3t + -1t + 8t = 0 Combine like terms: 3t + -1t = 2t 4 + 2t + 8t = 0 Combine like terms: 2t + 8t = 10t 4 + 10t = 0 Solving 4 + 10t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10t = 0 + -4 10t = 0 + -4 Combine like terms: 0 + -4 = -4 10t = -4 Divide each side by '10'. t = -0.4 Simplifying t = -0.4
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