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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 = 27 9t = 27 Divide each side by '9'. t = 3 Simplifying t = 3
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