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Simplifying -1(3 + -2t) + 1 = 12 (3 * -1 + -2t * -1) + 1 = 12 (-3 + 2t) + 1 = 12 Reorder the terms: -3 + 1 + 2t = 12 Combine like terms: -3 + 1 = -2 -2 + 2t = 12 Solving -2 + 2t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2t = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2t = 12 + 2 2t = 12 + 2 Combine like terms: 12 + 2 = 14 2t = 14 Divide each side by '2'. t = 7 Simplifying t = 7
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