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Simplifying -1(2t + 7) + 3(2t + 4) + -2t = 0 Reorder the terms: -1(7 + 2t) + 3(2t + 4) + -2t = 0 (7 * -1 + 2t * -1) + 3(2t + 4) + -2t = 0 (-7 + -2t) + 3(2t + 4) + -2t = 0 Reorder the terms: -7 + -2t + 3(4 + 2t) + -2t = 0 -7 + -2t + (4 * 3 + 2t * 3) + -2t = 0 -7 + -2t + (12 + 6t) + -2t = 0 Reorder the terms: -7 + 12 + -2t + 6t + -2t = 0 Combine like terms: -7 + 12 = 5 5 + -2t + 6t + -2t = 0 Combine like terms: -2t + 6t = 4t 5 + 4t + -2t = 0 Combine like terms: 4t + -2t = 2t 5 + 2t = 0 Solving 5 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2t = 0 + -5 2t = 0 + -5 Combine like terms: 0 + -5 = -5 2t = -5 Divide each side by '2'. t = -2.5 Simplifying t = -2.5
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