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Simplifying -1(2t + 6) + 3(2t + 3) + -2t = 0 Reorder the terms: -1(6 + 2t) + 3(2t + 3) + -2t = 0 (6 * -1 + 2t * -1) + 3(2t + 3) + -2t = 0 (-6 + -2t) + 3(2t + 3) + -2t = 0 Reorder the terms: -6 + -2t + 3(3 + 2t) + -2t = 0 -6 + -2t + (3 * 3 + 2t * 3) + -2t = 0 -6 + -2t + (9 + 6t) + -2t = 0 Reorder the terms: -6 + 9 + -2t + 6t + -2t = 0 Combine like terms: -6 + 9 = 3 3 + -2t + 6t + -2t = 0 Combine like terms: -2t + 6t = 4t 3 + 4t + -2t = 0 Combine like terms: 4t + -2t = 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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