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Simplifying -1(2t + 2) + 3(2t + 3) + -2t = 0 Reorder the terms: -1(2 + 2t) + 3(2t + 3) + -2t = 0 (2 * -1 + 2t * -1) + 3(2t + 3) + -2t = 0 (-2 + -2t) + 3(2t + 3) + -2t = 0 Reorder the terms: -2 + -2t + 3(3 + 2t) + -2t = 0 -2 + -2t + (3 * 3 + 2t * 3) + -2t = 0 -2 + -2t + (9 + 6t) + -2t = 0 Reorder the terms: -2 + 9 + -2t + 6t + -2t = 0 Combine like terms: -2 + 9 = 7 7 + -2t + 6t + -2t = 0 Combine like terms: -2t + 6t = 4t 7 + 4t + -2t = 0 Combine like terms: 4t + -2t = 2t 7 + 2t = 0 Solving 7 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = 0 + -7 2t = 0 + -7 Combine like terms: 0 + -7 = -7 2t = -7 Divide each side by '2'. t = -3.5 Simplifying t = -3.5
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