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Simplifying 3(2t + 3) + 2t = 18 + -1t Reorder the terms: 3(3 + 2t) + 2t = 18 + -1t (3 * 3 + 2t * 3) + 2t = 18 + -1t (9 + 6t) + 2t = 18 + -1t Combine like terms: 6t + 2t = 8t 9 + 8t = 18 + -1t Solving 9 + 8t = 18 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 9 + 8t + t = 18 + -1t + t Combine like terms: 8t + t = 9t 9 + 9t = 18 + -1t + t Combine like terms: -1t + t = 0 9 + 9t = 18 + 0 9 + 9t = 18 Add '-9' to each side of the equation. 9 + -9 + 9t = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 9t = 18 + -9 9t = 18 + -9 Combine like terms: 18 + -9 = 9 9t = 9 Divide each side by '9'. t = 1 Simplifying t = 1
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