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Simplifying 3(2t + -1) + 2t = 6 + -1t Reorder the terms: 3(-1 + 2t) + 2t = 6 + -1t (-1 * 3 + 2t * 3) + 2t = 6 + -1t (-3 + 6t) + 2t = 6 + -1t Combine like terms: 6t + 2t = 8t -3 + 8t = 6 + -1t Solving -3 + 8t = 6 + -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. -3 + 8t + t = 6 + -1t + t Combine like terms: 8t + t = 9t -3 + 9t = 6 + -1t + t Combine like terms: -1t + t = 0 -3 + 9t = 6 + 0 -3 + 9t = 6 Add '3' to each side of the equation. -3 + 3 + 9t = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 9t = 6 + 3 9t = 6 + 3 Combine like terms: 6 + 3 = 9 9t = 9 Divide each side by '9'. t = 1 Simplifying t = 1
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