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Simplifying -1(2t + 3) + 3(2t + 8) + -2t = 0 Reorder the terms: -1(3 + 2t) + 3(2t + 8) + -2t = 0 (3 * -1 + 2t * -1) + 3(2t + 8) + -2t = 0 (-3 + -2t) + 3(2t + 8) + -2t = 0 Reorder the terms: -3 + -2t + 3(8 + 2t) + -2t = 0 -3 + -2t + (8 * 3 + 2t * 3) + -2t = 0 -3 + -2t + (24 + 6t) + -2t = 0 Reorder the terms: -3 + 24 + -2t + 6t + -2t = 0 Combine like terms: -3 + 24 = 21 21 + -2t + 6t + -2t = 0 Combine like terms: -2t + 6t = 4t 21 + 4t + -2t = 0 Combine like terms: 4t + -2t = 2t 21 + 2t = 0 Solving 21 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 2t = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2t = 0 + -21 2t = 0 + -21 Combine like terms: 0 + -21 = -21 2t = -21 Divide each side by '2'. t = -10.5 Simplifying t = -10.5
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