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Simplifying 3(2t + 3) = 2(1 + -1t) + -1 Reorder the terms: 3(3 + 2t) = 2(1 + -1t) + -1 (3 * 3 + 2t * 3) = 2(1 + -1t) + -1 (9 + 6t) = 2(1 + -1t) + -1 9 + 6t = (1 * 2 + -1t * 2) + -1 9 + 6t = (2 + -2t) + -1 Reorder the terms: 9 + 6t = 2 + -1 + -2t Combine like terms: 2 + -1 = 1 9 + 6t = 1 + -2t Solving 9 + 6t = 1 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 9 + 6t + 2t = 1 + -2t + 2t Combine like terms: 6t + 2t = 8t 9 + 8t = 1 + -2t + 2t Combine like terms: -2t + 2t = 0 9 + 8t = 1 + 0 9 + 8t = 1 Add '-9' to each side of the equation. 9 + -9 + 8t = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 8t = 1 + -9 8t = 1 + -9 Combine like terms: 1 + -9 = -8 8t = -8 Divide each side by '8'. t = -1 Simplifying t = -1
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