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Simplifying -3(t + -1) + 8t = 3t + -4 Reorder the terms: -3(-1 + t) + 8t = 3t + -4 (-1 * -3 + t * -3) + 8t = 3t + -4 (3 + -3t) + 8t = 3t + -4 Combine like terms: -3t + 8t = 5t 3 + 5t = 3t + -4 Reorder the terms: 3 + 5t = -4 + 3t Solving 3 + 5t = -4 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 3 + 5t + -3t = -4 + 3t + -3t Combine like terms: 5t + -3t = 2t 3 + 2t = -4 + 3t + -3t Combine like terms: 3t + -3t = 0 3 + 2t = -4 + 0 3 + 2t = -4 Add '-3' to each side of the equation. 3 + -3 + 2t = -4 + -3 Combine like terms: 3 + -3 = 0 0 + 2t = -4 + -3 2t = -4 + -3 Combine like terms: -4 + -3 = -7 2t = -7 Divide each side by '2'. t = -3.5 Simplifying t = -3.5
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